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Finding the Fourth Proportional to 1,108.14, 1,661.13 and 531.42

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Solution

The fourth proportional to 1,108.14, 1,661.13 and 531.42 is: 796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,661.13 = 531.42 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,661.13 = 531.42/x
  3. Step 3: Cross multiply
    1,108.14x = 1,661.13 × 531.42
  4. Step 4: Simplify right side
    1,108.14x = 882,757.70
  5. Step 5: Solve for x
    x = 882,757.70/1,108.14
  6. Step 6: Final answer
    x = 796.61

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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.