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Finding the Fourth Proportional to 682.88, 1,024.34 and 169.88

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Solution

The fourth proportional to 682.88, 1,024.34 and 169.88 is: 254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.88 : 1,024.34 = 169.88 : x
  2. Step 2: Convert to fraction form
    682.88/1,024.34 = 169.88/x
  3. Step 3: Cross multiply
    682.88x = 1,024.34 × 169.88
  4. Step 4: Simplify right side
    682.88x = 174,008.91
  5. Step 5: Solve for x
    x = 174,008.91/682.88
  6. Step 6: Final answer
    x = 254.82

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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.