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Finding the Fourth Proportional to 1,098.98, 1,649.09 and 449.57

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Solution

The fourth proportional to 1,098.98, 1,649.09 and 449.57 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.98 : 1,649.09 = 449.57 : x
  2. Step 2: Convert to fraction form
    1,098.98/1,649.09 = 449.57/x
  3. Step 3: Cross multiply
    1,098.98x = 1,649.09 × 449.57
  4. Step 4: Simplify right side
    1,098.98x = 741,379.14
  5. Step 5: Solve for x
    x = 741,379.14/1,098.98
  6. Step 6: Final answer
    x = 674.61

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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.