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Finding the Fourth Proportional to 721.65, 996.11 and 535.08

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Solution

The fourth proportional to 721.65, 996.11 and 535.08 is: 738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.65 : 996.11 = 535.08 : x
  2. Step 2: Convert to fraction form
    721.65/996.11 = 535.08/x
  3. Step 3: Cross multiply
    721.65x = 996.11 × 535.08
  4. Step 4: Simplify right side
    721.65x = 532,998.54
  5. Step 5: Solve for x
    x = 532,998.54/721.65
  6. Step 6: Final answer
    x = 738.58

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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.