Yup, the dB scale isn't a linear one but a logarithmic one. Consider this, it takes a power amplifier twice as much power(wattage) to produce a 3dB increase in volume. This is to say, if a 100W amp can produce a max SPL of 100dB, it'd take a 200W designed in the same way with the same efficiency to produce 103dB. To the human ear, a perceived doubling of loudness is about a 6dB increase, so the 1200JB is roughly twice as loud as the Barracuda IV.
Of course, if we put things into context, the difference in final loudness, considering your CPU,power supply and case fans, will probably be negligible if you have some crazy cooling in your case like me

If however you want to create a quiet PC, with minimal usage of fans, the Barracuda IV would be the logical choice.