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Finding the Fourth Proportional to 682.80, 1,024.20 and 271.80

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Solution

The fourth proportional to 682.80, 1,024.20 and 271.80 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,024.20 = 271.80 : x
  2. Step 2: Convert to fraction form
    682.80/1,024.20 = 271.80/x
  3. Step 3: Cross multiply
    682.80x = 1,024.20 × 271.80
  4. Step 4: Simplify right side
    682.80x = 278,377.56
  5. Step 5: Solve for x
    x = 278,377.56/682.80
  6. Step 6: Final answer
    x = 407.70

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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.