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Finding the Fourth Proportional to 781.85, 1,172.77 and 627.01

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Solution

The fourth proportional to 781.85, 1,172.77 and 627.01 is: 940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,172.77 = 627.01 : x
  2. Step 2: Convert to fraction form
    781.85/1,172.77 = 627.01/x
  3. Step 3: Cross multiply
    781.85x = 1,172.77 × 627.01
  4. Step 4: Simplify right side
    781.85x = 735,334.02
  5. Step 5: Solve for x
    x = 735,334.02/781.85
  6. Step 6: Final answer
    x = 940.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.