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Finding the Fourth Proportional to 1,108.27, 1,660.44 and 1,042.42

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Solution

The fourth proportional to 1,108.27, 1,660.44 and 1,042.42 is: 1,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.27 : 1,660.44 = 1,042.42 : x
  2. Step 2: Convert to fraction form
    1,108.27/1,660.44 = 1,042.42/x
  3. Step 3: Cross multiply
    1,108.27x = 1,660.44 × 1,042.42
  4. Step 4: Simplify right side
    1,108.27x = 1,730,862.35
  5. Step 5: Solve for x
    x = 1,730,862.35/1,108.27
  6. Step 6: Final answer
    x = 1,561.78

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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.