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Finding the Fourth Proportional to 733.87, 1,013.10 and 472.33

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Solution

The fourth proportional to 733.87, 1,013.10 and 472.33 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.87 : 1,013.10 = 472.33 : x
  2. Step 2: Convert to fraction form
    733.87/1,013.10 = 472.33/x
  3. Step 3: Cross multiply
    733.87x = 1,013.10 × 472.33
  4. Step 4: Simplify right side
    733.87x = 478,517.52
  5. Step 5: Solve for x
    x = 478,517.52/733.87
  6. Step 6: Final answer
    x = 652.05

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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.