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Finding the Fourth Proportional to 733.97, 1,098.31 and 632.47

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Solution

The fourth proportional to 733.97, 1,098.31 and 632.47 is: 946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.97 : 1,098.31 = 632.47 : x
  2. Step 2: Convert to fraction form
    733.97/1,098.31 = 632.47/x
  3. Step 3: Cross multiply
    733.97x = 1,098.31 × 632.47
  4. Step 4: Simplify right side
    733.97x = 694,648.13
  5. Step 5: Solve for x
    x = 694,648.13/733.97
  6. Step 6: Final answer
    x = 946.43

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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.