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Finding the Fourth Proportional to 781.38, 1,172.13 and 204.25

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Solution

The fourth proportional to 781.38, 1,172.13 and 204.25 is: 306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,172.13 = 204.25 : x
  2. Step 2: Convert to fraction form
    781.38/1,172.13 = 204.25/x
  3. Step 3: Cross multiply
    781.38x = 1,172.13 × 204.25
  4. Step 4: Simplify right side
    781.38x = 239,407.55
  5. Step 5: Solve for x
    x = 239,407.55/781.38
  6. Step 6: Final answer
    x = 306.39

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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.