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Finding the Fourth Proportional to 781.53, 1,172.72 and 261.69

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Solution

The fourth proportional to 781.53, 1,172.72 and 261.69 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.53 : 1,172.72 = 261.69 : x
  2. Step 2: Convert to fraction form
    781.53/1,172.72 = 261.69/x
  3. Step 3: Cross multiply
    781.53x = 1,172.72 × 261.69
  4. Step 4: Simplify right side
    781.53x = 306,889.75
  5. Step 5: Solve for x
    x = 306,889.75/781.53
  6. Step 6: Final answer
    x = 392.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.