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Finding the Fourth Proportional to 681.98, 1,023.46 and 271.14

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Solution

The fourth proportional to 681.98, 1,023.46 and 271.14 is: 406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.98 : 1,023.46 = 271.14 : x
  2. Step 2: Convert to fraction form
    681.98/1,023.46 = 271.14/x
  3. Step 3: Cross multiply
    681.98x = 1,023.46 × 271.14
  4. Step 4: Simplify right side
    681.98x = 277,500.94
  5. Step 5: Solve for x
    x = 277,500.94/681.98
  6. Step 6: Final answer
    x = 406.90

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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.