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Finding the Fourth Proportional to 1,092.24, 1,638.80 and 398.96

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Solution

The fourth proportional to 1,092.24, 1,638.80 and 398.96 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.24 : 1,638.80 = 398.96 : x
  2. Step 2: Convert to fraction form
    1,092.24/1,638.80 = 398.96/x
  3. Step 3: Cross multiply
    1,092.24x = 1,638.80 × 398.96
  4. Step 4: Simplify right side
    1,092.24x = 653,806.96
  5. Step 5: Solve for x
    x = 653,806.96/1,092.24
  6. Step 6: Final answer
    x = 598.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.