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Finding the Fourth Proportional to 1,098.38, 1,647.66 and 449

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Solution

The fourth proportional to 1,098.38, 1,647.66 and 449 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.38 : 1,647.66 = 449 : x
  2. Step 2: Convert to fraction form
    1,098.38/1,647.66 = 449/x
  3. Step 3: Cross multiply
    1,098.38x = 1,647.66 × 449
  4. Step 4: Simplify right side
    1,098.38x = 739,799.34
  5. Step 5: Solve for x
    x = 739,799.34/1,098.38
  6. Step 6: Final answer
    x = 673.54

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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.