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Finding the Fourth Proportional to 724.75, 998.63 and 491.47

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Solution

The fourth proportional to 724.75, 998.63 and 491.47 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.75 : 998.63 = 491.47 : x
  2. Step 2: Convert to fraction form
    724.75/998.63 = 491.47/x
  3. Step 3: Cross multiply
    724.75x = 998.63 × 491.47
  4. Step 4: Simplify right side
    724.75x = 490,793.58
  5. Step 5: Solve for x
    x = 490,793.58/724.75
  6. Step 6: Final answer
    x = 677.19

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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.