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Finding the Fourth Proportional to 1,137.27, 1,704.27 and 588.27

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Solution

The fourth proportional to 1,137.27, 1,704.27 and 588.27 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.27 : 1,704.27 = 588.27 : x
  2. Step 2: Convert to fraction form
    1,137.27/1,704.27 = 588.27/x
  3. Step 3: Cross multiply
    1,137.27x = 1,704.27 × 588.27
  4. Step 4: Simplify right side
    1,137.27x = 1,002,570.91
  5. Step 5: Solve for x
    x = 1,002,570.91/1,137.27
  6. Step 6: Final answer
    x = 881.56

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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.