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Finding the Fourth Proportional to 723.76, 1,084.24 and 449.96

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Solution

The fourth proportional to 723.76, 1,084.24 and 449.96 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.76 : 1,084.24 = 449.96 : x
  2. Step 2: Convert to fraction form
    723.76/1,084.24 = 449.96/x
  3. Step 3: Cross multiply
    723.76x = 1,084.24 × 449.96
  4. Step 4: Simplify right side
    723.76x = 487,864.63
  5. Step 5: Solve for x
    x = 487,864.63/723.76
  6. Step 6: Final answer
    x = 674.07

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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.