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Finding the Fourth Proportional to 614.52, 916.38 and 521.64

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Solution

The fourth proportional to 614.52, 916.38 and 521.64 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.52 : 916.38 = 521.64 : x
  2. Step 2: Convert to fraction form
    614.52/916.38 = 521.64/x
  3. Step 3: Cross multiply
    614.52x = 916.38 × 521.64
  4. Step 4: Simplify right side
    614.52x = 478,020.46
  5. Step 5: Solve for x
    x = 478,020.46/614.52
  6. Step 6: Final answer
    x = 777.88

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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.