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Finding the Fourth Proportional to 1,107.27, 1,660.77 and 559.85

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Solution

The fourth proportional to 1,107.27, 1,660.77 and 559.85 is: 839.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.27 : 1,660.77 = 559.85 : x
  2. Step 2: Convert to fraction form
    1,107.27/1,660.77 = 559.85/x
  3. Step 3: Cross multiply
    1,107.27x = 1,660.77 × 559.85
  4. Step 4: Simplify right side
    1,107.27x = 929,773.78
  5. Step 5: Solve for x
    x = 929,773.78/1,107.27
  6. Step 6: Final answer
    x = 839.70

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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.