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Finding the Fourth Proportional to 723.15, 1,084.19 and 449.91

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Solution

The fourth proportional to 723.15, 1,084.19 and 449.91 is: 674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.15 : 1,084.19 = 449.91 : x
  2. Step 2: Convert to fraction form
    723.15/1,084.19 = 449.91/x
  3. Step 3: Cross multiply
    723.15x = 1,084.19 × 449.91
  4. Step 4: Simplify right side
    723.15x = 487,785.67
  5. Step 5: Solve for x
    x = 487,785.67/723.15
  6. Step 6: Final answer
    x = 674.53

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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.