Joel,
Chambered in 7WSM and throated for the 195 Bergers.
Lone wolf,
Found this "A Krieger #4.5 is a #5 at the neck(6" from the breech end) which is .900" and tapers to a #4 at the muzzle which is .670" at 26 inches".
A piece of information also worth noting, is that Krieger wants a minimum .900" dimension(Krieger #5) at the neck(6" from the breech) on 7mm stainless barrels. That is an unfluted barrel. Krieger also offers fluting, of which they cut their flutes 0.050" deep on their blanks.
If a person orders a stainless #4.5 contour 7mm barrel with flutes direct from Krieger, where Krieger does the fluting, Krieger will bump that .900" neck(6" from the breech) dimension up to 1.000." Per their policy, after flutes are cut for a total of .100" of barrel material removed, they are still retaining that .900" dimension.
A stainless fluted Krieger #4.5 in 7mm will be 1.000" (6" from the breech) and a #4 at the muzzle which measures .670" at 26 inches.