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Finding the Fourth Proportional to 1,472.91, 2,209.37 and 499.02

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Solution

The fourth proportional to 1,472.91, 2,209.37 and 499.02 is: 748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.91 : 2,209.37 = 499.02 : x
  2. Step 2: Convert to fraction form
    1,472.91/2,209.37 = 499.02/x
  3. Step 3: Cross multiply
    1,472.91x = 2,209.37 × 499.02
  4. Step 4: Simplify right side
    1,472.91x = 1,102,519.82
  5. Step 5: Solve for x
    x = 1,102,519.82/1,472.91
  6. Step 6: Final answer
    x = 748.53

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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.