Recoil polarimetry was used to extract the ratio of the proton electromagnetic form factors, μpGEp/GMp=0.878±0.064(stat)±0.012(sys), at Q2=1.13(GeV/c)2 from the reaction H1(e→,ep→). This was an ancillary measurement in which the proton polarization was determined as part of a larger program utilizing a stand-alone polarimeter designed to measure μnGEn/GMn. This measurement complements previous recoil polarimetry measurements of μpGEp/GMp made at the Thomas Jefferson National Accelerator Facility.