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Finding the Fourth Proportional to 724.73, 1,087.07 and 291.87

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Solution

The fourth proportional to 724.73, 1,087.07 and 291.87 is: 437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.73 : 1,087.07 = 291.87 : x
  2. Step 2: Convert to fraction form
    724.73/1,087.07 = 291.87/x
  3. Step 3: Cross multiply
    724.73x = 1,087.07 × 291.87
  4. Step 4: Simplify right side
    724.73x = 317,281.66
  5. Step 5: Solve for x
    x = 317,281.66/724.73
  6. Step 6: Final answer
    x = 437.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.