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Finding the Fourth Proportional to 781.57, 1,172.36 and 343.27

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Solution

The fourth proportional to 781.57, 1,172.36 and 343.27 is: 514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.57 : 1,172.36 = 343.27 : x
  2. Step 2: Convert to fraction form
    781.57/1,172.36 = 343.27/x
  3. Step 3: Cross multiply
    781.57x = 1,172.36 × 343.27
  4. Step 4: Simplify right side
    781.57x = 402,436.02
  5. Step 5: Solve for x
    x = 402,436.02/781.57
  6. Step 6: Final answer
    x = 514.91

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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.