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Finding the Fourth Proportional to 614.64, 916.36 and 598.96

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Solution

The fourth proportional to 614.64, 916.36 and 598.96 is: 892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 916.36 = 598.96 : x
  2. Step 2: Convert to fraction form
    614.64/916.36 = 598.96/x
  3. Step 3: Cross multiply
    614.64x = 916.36 × 598.96
  4. Step 4: Simplify right side
    614.64x = 548,862.99
  5. Step 5: Solve for x
    x = 548,862.99/614.64
  6. Step 6: Final answer
    x = 892.98

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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.