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The primary goal of the Carnegie Chicago Hubble Program (CCHP) is tocalibrate the zero-point of the Type Ia supernova (SN Ia) Hubble Diagramthrough the use of Population II standard candles. So far, the CCHP hasmeasured direct distances to 11 SNe Ia, and here we increase that number to 15with two new TRGB distances measured to NGC 5643 and NGC 1404, for a total of20 SN Ia calibrators. We present resolved, point-source photometry from newHubble Space Telescope (HST) imaging of these two galaxies in the F814W andF606W bandpasses. From each galaxy's stellar halo, we construct an F814W-bandluminosity function in which we detect an unambiguous edge feature identifiedas the Tip of the Red Giant Branch (TRGB). For NGC 5643, we find $\mu_0 =30.48\pm0.03(stat)\pm0.07(sys) $ mag, and for NGC 1404 we find $ \mu_0=31.36\pm0.04(stat)\pm 0.05(sys)$ mag. From a preliminary consideration of the SNe Ia inthese galaxies, we find increased confidence in the results presented in PaperVIII (Freedman et al. 2019). The high precision of our TRGB distances enables asignificant measurement of the 3D displacement between the Fornax Clustergalaxies NGC 1404 and NGC 1316 (Fornax A) equal to $1.50^{+0.25}_{-0.39}$ Mpc,which we show is in agreement with independent literature constraints.

The Carnegie Chicago Hubble Program X: Tip of the Red Giant Branch Distances to NGC 5643 and NGC 1404