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Finding the Fourth Proportional to 614.78, 922.17 and 506.34

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Solution

The fourth proportional to 614.78, 922.17 and 506.34 is: 759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.78 : 922.17 = 506.34 : x
  2. Step 2: Convert to fraction form
    614.78/922.17 = 506.34/x
  3. Step 3: Cross multiply
    614.78x = 922.17 × 506.34
  4. Step 4: Simplify right side
    614.78x = 466,931.56
  5. Step 5: Solve for x
    x = 466,931.56/614.78
  6. Step 6: Final answer
    x = 759.51

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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.