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Finding the Fourth Proportional to 781.69, 1,172.54 and 204.56

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Solution

The fourth proportional to 781.69, 1,172.54 and 204.56 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.69 : 1,172.54 = 204.56 : x
  2. Step 2: Convert to fraction form
    781.69/1,172.54 = 204.56/x
  3. Step 3: Cross multiply
    781.69x = 1,172.54 × 204.56
  4. Step 4: Simplify right side
    781.69x = 239,858.23
  5. Step 5: Solve for x
    x = 239,858.23/781.69
  6. Step 6: Final answer
    x = 306.85

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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.