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Finding the Fourth Proportional to 1,488.27, 2,232.52 and 392.63

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Solution

The fourth proportional to 1,488.27, 2,232.52 and 392.63 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.27 : 2,232.52 = 392.63 : x
  2. Step 2: Convert to fraction form
    1,488.27/2,232.52 = 392.63/x
  3. Step 3: Cross multiply
    1,488.27x = 2,232.52 × 392.63
  4. Step 4: Simplify right side
    1,488.27x = 876,542.18
  5. Step 5: Solve for x
    x = 876,542.18/1,488.27
  6. Step 6: Final answer
    x = 588.97

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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.