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Finding the Fourth Proportional to 687.17, 1,025.47 and 614.27

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Solution

The fourth proportional to 687.17, 1,025.47 and 614.27 is: 916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.17 : 1,025.47 = 614.27 : x
  2. Step 2: Convert to fraction form
    687.17/1,025.47 = 614.27/x
  3. Step 3: Cross multiply
    687.17x = 1,025.47 × 614.27
  4. Step 4: Simplify right side
    687.17x = 629,915.46
  5. Step 5: Solve for x
    x = 629,915.46/687.17
  6. Step 6: Final answer
    x = 916.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.