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Finding the Fourth Proportional to 721.26, 996.19 and 525.65

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Solution

The fourth proportional to 721.26, 996.19 and 525.65 is: 726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.26 : 996.19 = 525.65 : x
  2. Step 2: Convert to fraction form
    721.26/996.19 = 525.65/x
  3. Step 3: Cross multiply
    721.26x = 996.19 × 525.65
  4. Step 4: Simplify right side
    721.26x = 523,640.98
  5. Step 5: Solve for x
    x = 523,640.98/721.26
  6. Step 6: Final answer
    x = 726.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.