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Finding the Fourth Proportional to 682.78, 1,024.17 and 169.78

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Solution

The fourth proportional to 682.78, 1,024.17 and 169.78 is: 254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.78 : 1,024.17 = 169.78 : x
  2. Step 2: Convert to fraction form
    682.78/1,024.17 = 169.78/x
  3. Step 3: Cross multiply
    682.78x = 1,024.17 × 169.78
  4. Step 4: Simplify right side
    682.78x = 173,885.18
  5. Step 5: Solve for x
    x = 173,885.18/682.78
  6. Step 6: Final answer
    x = 254.67

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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.