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Finding the Fourth Proportional to 937.20, 1,406.13 and 449.91

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Solution

The fourth proportional to 937.20, 1,406.13 and 449.91 is: 675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.20 : 1,406.13 = 449.91 : x
  2. Step 2: Convert to fraction form
    937.20/1,406.13 = 449.91/x
  3. Step 3: Cross multiply
    937.20x = 1,406.13 × 449.91
  4. Step 4: Simplify right side
    937.20x = 632,631.95
  5. Step 5: Solve for x
    x = 632,631.95/937.20
  6. Step 6: Final answer
    x = 675.02

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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.