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Finding the Fourth Proportional to 1,531.24, 2,294.97 and 708.38

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Solution

The fourth proportional to 1,531.24, 2,294.97 and 708.38 is: 1,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.24 : 2,294.97 = 708.38 : x
  2. Step 2: Convert to fraction form
    1,531.24/2,294.97 = 708.38/x
  3. Step 3: Cross multiply
    1,531.24x = 2,294.97 × 708.38
  4. Step 4: Simplify right side
    1,531.24x = 1,625,710.85
  5. Step 5: Solve for x
    x = 1,625,710.85/1,531.24
  6. Step 6: Final answer
    x = 1,061.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.