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Finding the Fourth Proportional to 681.92, 1,023.54 and 316.96

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Solution

The fourth proportional to 681.92, 1,023.54 and 316.96 is: 475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.92 : 1,023.54 = 316.96 : x
  2. Step 2: Convert to fraction form
    681.92/1,023.54 = 316.96/x
  3. Step 3: Cross multiply
    681.92x = 1,023.54 × 316.96
  4. Step 4: Simplify right side
    681.92x = 324,421.24
  5. Step 5: Solve for x
    x = 324,421.24/681.92
  6. Step 6: Final answer
    x = 475.75

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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.