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Finding the Fourth Proportional to 1,099.16, 1,648.68 and 449.87

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Solution

The fourth proportional to 1,099.16, 1,648.68 and 449.87 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.16 : 1,648.68 = 449.87 : x
  2. Step 2: Convert to fraction form
    1,099.16/1,648.68 = 449.87/x
  3. Step 3: Cross multiply
    1,099.16x = 1,648.68 × 449.87
  4. Step 4: Simplify right side
    1,099.16x = 741,691.67
  5. Step 5: Solve for x
    x = 741,691.67/1,099.16
  6. Step 6: Final answer
    x = 674.78

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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.