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Finding the Fourth Proportional to 717.92, 1,077.48 and 712.52

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Solution

The fourth proportional to 717.92, 1,077.48 and 712.52 is: 1,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.92 : 1,077.48 = 712.52 : x
  2. Step 2: Convert to fraction form
    717.92/1,077.48 = 712.52/x
  3. Step 3: Cross multiply
    717.92x = 1,077.48 × 712.52
  4. Step 4: Simplify right side
    717.92x = 767,726.05
  5. Step 5: Solve for x
    x = 767,726.05/717.92
  6. Step 6: Final answer
    x = 1,069.38

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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.