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Finding the Fourth Proportional to 733, 1,098.20 and 472.40

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Solution

The fourth proportional to 733, 1,098.20 and 472.40 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,098.20 = 472.40 : x
  2. Step 2: Convert to fraction form
    733/1,098.20 = 472.40/x
  3. Step 3: Cross multiply
    733x = 1,098.20 × 472.40
  4. Step 4: Simplify right side
    733x = 518,789.68
  5. Step 5: Solve for x
    x = 518,789.68/733
  6. Step 6: Final answer
    x = 707.76

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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.