Meaning of 因 in Japanese

ある研究によれば、ガンによる女性の死亡数の中では肺がんが１７％を占めている。
A study shows lung cancer accounts for 17% of women's cancer deaths.

妹から便りがあった。手紙によれば目下元気だそうだ。
I heard from my sister. The letter says she is well now.

大変な努力が彼の成功の一因であった。
Great effort was one factor in his success.

ちなみに、ウチのクリニックから数百メートルの近場に「ランプ」が建設中です。
Incidentally a motorway ramp is being constructed in the neighbourhood, a few hundred metres away, of my clinic.

造られたもので、この方によらずできたものは一つもない。
Without him nothing was made that has been made.

早くこの世を去ったのも彼女の因縁だ。
It was her fate to die young.

４８歳の川勝良一監督はことし６月に福岡を引き継いだが、４６歳の松田監督とは因縁浅からぬ関係だ。
The 48-year-old Ryouichi Kawakatsu took over as coach at Fukuoka in June this year, but his fate is closely linked with that of 46-year-old Matsuda.

因果を含めてあきらめさせた。
I persuaded him to give up the idea.