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Finding the Fourth Proportional to 781.11, 1,172.17 and 416.15

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Solution

The fourth proportional to 781.11, 1,172.17 and 416.15 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.11 : 1,172.17 = 416.15 : x
  2. Step 2: Convert to fraction form
    781.11/1,172.17 = 416.15/x
  3. Step 3: Cross multiply
    781.11x = 1,172.17 × 416.15
  4. Step 4: Simplify right side
    781.11x = 487,798.55
  5. Step 5: Solve for x
    x = 487,798.55/781.11
  6. Step 6: Final answer
    x = 624.49

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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.