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Finding the Fourth Proportional to 1,488.16, 2,232.26 and 392.53

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Solution

The fourth proportional to 1,488.16, 2,232.26 and 392.53 is: 588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.16 : 2,232.26 = 392.53 : x
  2. Step 2: Convert to fraction form
    1,488.16/2,232.26 = 392.53/x
  3. Step 3: Cross multiply
    1,488.16x = 2,232.26 × 392.53
  4. Step 4: Simplify right side
    1,488.16x = 876,229.02
  5. Step 5: Solve for x
    x = 876,229.02/1,488.16
  6. Step 6: Final answer
    x = 588.80

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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.