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Finding the Fourth Proportional to 781.37, 1,172.07 and 204.24

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Solution

The fourth proportional to 781.37, 1,172.07 and 204.24 is: 306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.37 : 1,172.07 = 204.24 : x
  2. Step 2: Convert to fraction form
    781.37/1,172.07 = 204.24/x
  3. Step 3: Cross multiply
    781.37x = 1,172.07 × 204.24
  4. Step 4: Simplify right side
    781.37x = 239,383.58
  5. Step 5: Solve for x
    x = 239,383.58/781.37
  6. Step 6: Final answer
    x = 306.37

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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.