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Finding the Fourth Proportional to 721.92, 1,074.84 and 713.28

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Solution

The fourth proportional to 721.92, 1,074.84 and 713.28 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,074.84 = 713.28 : x
  2. Step 2: Convert to fraction form
    721.92/1,074.84 = 713.28/x
  3. Step 3: Cross multiply
    721.92x = 1,074.84 × 713.28
  4. Step 4: Simplify right side
    721.92x = 766,661.88
  5. Step 5: Solve for x
    x = 766,661.88/721.92
  6. Step 6: Final answer
    x = 1,061.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.