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Finding the Fourth Proportional to 682.71, 1,024.07 and 169.71

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Solution

The fourth proportional to 682.71, 1,024.07 and 169.71 is: 254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 1,024.07 = 169.71 : x
  2. Step 2: Convert to fraction form
    682.71/1,024.07 = 169.71/x
  3. Step 3: Cross multiply
    682.71x = 1,024.07 × 169.71
  4. Step 4: Simplify right side
    682.71x = 173,794.92
  5. Step 5: Solve for x
    x = 173,794.92/682.71
  6. Step 6: Final answer
    x = 254.57

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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.