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Finding the Fourth Proportional to 1,108.29, 1,529.42 and 610.91

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Solution

The fourth proportional to 1,108.29, 1,529.42 and 610.91 is: 843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.29 : 1,529.42 = 610.91 : x
  2. Step 2: Convert to fraction form
    1,108.29/1,529.42 = 610.91/x
  3. Step 3: Cross multiply
    1,108.29x = 1,529.42 × 610.91
  4. Step 4: Simplify right side
    1,108.29x = 934,337.97
  5. Step 5: Solve for x
    x = 934,337.97/1,108.29
  6. Step 6: Final answer
    x = 843.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.