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Finding the Fourth Proportional to 732.14, 1,097.81 and 443.78

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Solution

The fourth proportional to 732.14, 1,097.81 and 443.78 is: 665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.14 : 1,097.81 = 443.78 : x
  2. Step 2: Convert to fraction form
    732.14/1,097.81 = 443.78/x
  3. Step 3: Cross multiply
    732.14x = 1,097.81 × 443.78
  4. Step 4: Simplify right side
    732.14x = 487,183.90
  5. Step 5: Solve for x
    x = 487,183.90/732.14
  6. Step 6: Final answer
    x = 665.42

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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.