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Finding the Fourth Proportional to 1,472.80, 2,209.38 and 499.18

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Solution

The fourth proportional to 1,472.80, 2,209.38 and 499.18 is: 748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.80 : 2,209.38 = 499.18 : x
  2. Step 2: Convert to fraction form
    1,472.80/2,209.38 = 499.18/x
  3. Step 3: Cross multiply
    1,472.80x = 2,209.38 × 499.18
  4. Step 4: Simplify right side
    1,472.80x = 1,102,878.31
  5. Step 5: Solve for x
    x = 1,102,878.31/1,472.80
  6. Step 6: Final answer
    x = 748.83

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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.