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Finding the Fourth Proportional to 781.43, 1,171.53 and 348.89

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Solution

The fourth proportional to 781.43, 1,171.53 and 348.89 is: 523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.43 : 1,171.53 = 348.89 : x
  2. Step 2: Convert to fraction form
    781.43/1,171.53 = 348.89/x
  3. Step 3: Cross multiply
    781.43x = 1,171.53 × 348.89
  4. Step 4: Simplify right side
    781.43x = 408,729.24
  5. Step 5: Solve for x
    x = 408,729.24/781.43
  6. Step 6: Final answer
    x = 523.06

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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.