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Finding the Fourth Proportional to 733.29, 1,099.50 and 502.44

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Solution

The fourth proportional to 733.29, 1,099.50 and 502.44 is: 753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.29 : 1,099.50 = 502.44 : x
  2. Step 2: Convert to fraction form
    733.29/1,099.50 = 502.44/x
  3. Step 3: Cross multiply
    733.29x = 1,099.50 × 502.44
  4. Step 4: Simplify right side
    733.29x = 552,432.78
  5. Step 5: Solve for x
    x = 552,432.78/733.29
  6. Step 6: Final answer
    x = 753.36

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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.