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Finding the Fourth Proportional to 667.52, 921.84 and 537.92

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Solution

The fourth proportional to 667.52, 921.84 and 537.92 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 921.84 = 537.92 : x
  2. Step 2: Convert to fraction form
    667.52/921.84 = 537.92/x
  3. Step 3: Cross multiply
    667.52x = 921.84 × 537.92
  4. Step 4: Simplify right side
    667.52x = 495,876.17
  5. Step 5: Solve for x
    x = 495,876.17/667.52
  6. Step 6: Final answer
    x = 742.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.