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Finding the Fourth Proportional to 1,139.27, 1,567.49 and 1,107

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Solution

The fourth proportional to 1,139.27, 1,567.49 and 1,107 is: 1,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.27 : 1,567.49 = 1,107 : x
  2. Step 2: Convert to fraction form
    1,139.27/1,567.49 = 1,107/x
  3. Step 3: Cross multiply
    1,139.27x = 1,567.49 × 1,107
  4. Step 4: Simplify right side
    1,139.27x = 1,735,205.90
  5. Step 5: Solve for x
    x = 1,735,205.90/1,139.27
  6. Step 6: Final answer
    x = 1,523.09

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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.