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Finding the Fourth Proportional to 724.42, 1,086.68 and 291.58

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Solution

The fourth proportional to 724.42, 1,086.68 and 291.58 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 1,086.68 = 291.58 : x
  2. Step 2: Convert to fraction form
    724.42/1,086.68 = 291.58/x
  3. Step 3: Cross multiply
    724.42x = 1,086.68 × 291.58
  4. Step 4: Simplify right side
    724.42x = 316,854.15
  5. Step 5: Solve for x
    x = 316,854.15/724.42
  6. Step 6: Final answer
    x = 437.39

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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.