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Finding the Fourth Proportional to 614.38, 921.57 and 505.94

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Solution

The fourth proportional to 614.38, 921.57 and 505.94 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 921.57 = 505.94 : x
  2. Step 2: Convert to fraction form
    614.38/921.57 = 505.94/x
  3. Step 3: Cross multiply
    614.38x = 921.57 × 505.94
  4. Step 4: Simplify right side
    614.38x = 466,259.13
  5. Step 5: Solve for x
    x = 466,259.13/614.38
  6. Step 6: Final answer
    x = 758.91

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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.