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Finding the Fourth Proportional to 682.71, 1,024.40 and 271.83

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Solution

The fourth proportional to 682.71, 1,024.40 and 271.83 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 1,024.40 = 271.83 : x
  2. Step 2: Convert to fraction form
    682.71/1,024.40 = 271.83/x
  3. Step 3: Cross multiply
    682.71x = 1,024.40 × 271.83
  4. Step 4: Simplify right side
    682.71x = 278,463.85
  5. Step 5: Solve for x
    x = 278,463.85/682.71
  6. Step 6: Final answer
    x = 407.88

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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.