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Finding the Fourth Proportional to 682.56, 1,023.10 and 271.49

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Solution

The fourth proportional to 682.56, 1,023.10 and 271.49 is: 406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,023.10 = 271.49 : x
  2. Step 2: Convert to fraction form
    682.56/1,023.10 = 271.49/x
  3. Step 3: Cross multiply
    682.56x = 1,023.10 × 271.49
  4. Step 4: Simplify right side
    682.56x = 277,755.62
  5. Step 5: Solve for x
    x = 277,755.62/682.56
  6. Step 6: Final answer
    x = 406.93

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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.