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Finding the Fourth Proportional to 1,092.17, 1,638.24 and 398.83

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Solution

The fourth proportional to 1,092.17, 1,638.24 and 398.83 is: 598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.17 : 1,638.24 = 398.83 : x
  2. Step 2: Convert to fraction form
    1,092.17/1,638.24 = 398.83/x
  3. Step 3: Cross multiply
    1,092.17x = 1,638.24 × 398.83
  4. Step 4: Simplify right side
    1,092.17x = 653,378.98
  5. Step 5: Solve for x
    x = 653,378.98/1,092.17
  6. Step 6: Final answer
    x = 598.24

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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.