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Finding the Fourth Proportional to 682.56, 1,024.02 and 271.62

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Solution

The fourth proportional to 682.56, 1,024.02 and 271.62 is: 407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,024.02 = 271.62 : x
  2. Step 2: Convert to fraction form
    682.56/1,024.02 = 271.62/x
  3. Step 3: Cross multiply
    682.56x = 1,024.02 × 271.62
  4. Step 4: Simplify right side
    682.56x = 278,144.31
  5. Step 5: Solve for x
    x = 278,144.31/682.56
  6. Step 6: Final answer
    x = 407.50

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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.