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Finding the Fourth Proportional to 682.31, 1,023.44 and 169.31

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Solution

The fourth proportional to 682.31, 1,023.44 and 169.31 is: 253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.31 : 1,023.44 = 169.31 : x
  2. Step 2: Convert to fraction form
    682.31/1,023.44 = 169.31/x
  3. Step 3: Cross multiply
    682.31x = 1,023.44 × 169.31
  4. Step 4: Simplify right side
    682.31x = 173,273.51
  5. Step 5: Solve for x
    x = 173,273.51/682.31
  6. Step 6: Final answer
    x = 253.95

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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.