Johansson rounded the inches, but previous legal definition was in yards. The Mendenhall Order was the US agreeing to define it's units in terms of the metric pegs, instead of the UK's (which were unreliably changing). The US survey of the coast (today the national geodetic survey), defined conversion values for the yard and pound.
1 (survey) yard = 3600⁄3937 meters
Reduces to:
1 (survey) foot = 1200⁄3937 meters
1 (survey) inch = 1/39.37 meters ~
25.4000508 mm
https://en.m.wikipedia.org/wiki/Mendenhall_Order