Final answer:
The urachus is the fetal remnant that connects the fetal bladder to the umbilical cord, and if it doesn't close properly, it can lead to urachal abnormalities.
Step-by-step explanation:
The fetal remnant that runs up the anterior body wall to the umbilicus is the urachus. The urachus is a tube-like structure that connects the fetal bladder to the umbilical cord during gestation, allowing urine to be removed from the fetus. If the urachus doesn't close properly after birth, it can lead to urachal abnormalities, such as a urachal cyst or fistula, which may require medical treatment to correct.