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Finding the Fourth Proportional to 723.24, 1,084.68 and 327.96

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Solution

The fourth proportional to 723.24, 1,084.68 and 327.96 is: 491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 1,084.68 = 327.96 : x
  2. Step 2: Convert to fraction form
    723.24/1,084.68 = 327.96/x
  3. Step 3: Cross multiply
    723.24x = 1,084.68 × 327.96
  4. Step 4: Simplify right side
    723.24x = 355,731.65
  5. Step 5: Solve for x
    x = 355,731.65/723.24
  6. Step 6: Final answer
    x = 491.86

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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.