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Finding the Fourth Proportional to 680.67, 937.17 and 540.32

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Solution

The fourth proportional to 680.67, 937.17 and 540.32 is: 743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.67 : 937.17 = 540.32 : x
  2. Step 2: Convert to fraction form
    680.67/937.17 = 540.32/x
  3. Step 3: Cross multiply
    680.67x = 937.17 × 540.32
  4. Step 4: Simplify right side
    680.67x = 506,367.01
  5. Step 5: Solve for x
    x = 506,367.01/680.67
  6. Step 6: Final answer
    x = 743.92

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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.