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Finding the Fourth Proportional to 781.72, 1,172.58 and 204.59

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Solution

The fourth proportional to 781.72, 1,172.58 and 204.59 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.72 : 1,172.58 = 204.59 : x
  2. Step 2: Convert to fraction form
    781.72/1,172.58 = 204.59/x
  3. Step 3: Cross multiply
    781.72x = 1,172.58 × 204.59
  4. Step 4: Simplify right side
    781.72x = 239,898.14
  5. Step 5: Solve for x
    x = 239,898.14/781.72
  6. Step 6: Final answer
    x = 306.89

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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.