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Finding the Fourth Proportional to 781.43, 1,172.15 and 204.30

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Solution

The fourth proportional to 781.43, 1,172.15 and 204.30 is: 306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.43 : 1,172.15 = 204.30 : x
  2. Step 2: Convert to fraction form
    781.43/1,172.15 = 204.30/x
  3. Step 3: Cross multiply
    781.43x = 1,172.15 × 204.30
  4. Step 4: Simplify right side
    781.43x = 239,469.22
  5. Step 5: Solve for x
    x = 239,469.22/781.43
  6. Step 6: Final answer
    x = 306.45

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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.