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Finding the Fourth Proportional to 724.30, 1,086.50 and 291.46

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Solution

The fourth proportional to 724.30, 1,086.50 and 291.46 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.30 : 1,086.50 = 291.46 : x
  2. Step 2: Convert to fraction form
    724.30/1,086.50 = 291.46/x
  3. Step 3: Cross multiply
    724.30x = 1,086.50 × 291.46
  4. Step 4: Simplify right side
    724.30x = 316,665.86
  5. Step 5: Solve for x
    x = 316,665.86/724.30
  6. Step 6: Final answer
    x = 437.21

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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.