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Finding the Fourth Proportional to 782.89, 1,174.18 and 344.27

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Solution

The fourth proportional to 782.89, 1,174.18 and 344.27 is: 516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.89 : 1,174.18 = 344.27 : x
  2. Step 2: Convert to fraction form
    782.89/1,174.18 = 344.27/x
  3. Step 3: Cross multiply
    782.89x = 1,174.18 × 344.27
  4. Step 4: Simplify right side
    782.89x = 404,234.95
  5. Step 5: Solve for x
    x = 404,234.95/782.89
  6. Step 6: Final answer
    x = 516.34

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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.