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Finding the Fourth Proportional to 732.49, 1,097.76 and 439.04

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Solution

The fourth proportional to 732.49, 1,097.76 and 439.04 is: 657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.49 : 1,097.76 = 439.04 : x
  2. Step 2: Convert to fraction form
    732.49/1,097.76 = 439.04/x
  3. Step 3: Cross multiply
    732.49x = 1,097.76 × 439.04
  4. Step 4: Simplify right side
    732.49x = 481,960.55
  5. Step 5: Solve for x
    x = 481,960.55/732.49
  6. Step 6: Final answer
    x = 657.98

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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.