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Finding the Fourth Proportional to 1,098.54, 1,647.82 and 449.28

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Solution

The fourth proportional to 1,098.54, 1,647.82 and 449.28 is: 673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.54 : 1,647.82 = 449.28 : x
  2. Step 2: Convert to fraction form
    1,098.54/1,647.82 = 449.28/x
  3. Step 3: Cross multiply
    1,098.54x = 1,647.82 × 449.28
  4. Step 4: Simplify right side
    1,098.54x = 740,327.70
  5. Step 5: Solve for x
    x = 740,327.70/1,098.54
  6. Step 6: Final answer
    x = 673.92

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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.