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Finding the Fourth Proportional to 682.03, 1,023.18 and 316.92

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Solution

The fourth proportional to 682.03, 1,023.18 and 316.92 is: 475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.03 : 1,023.18 = 316.92 : x
  2. Step 2: Convert to fraction form
    682.03/1,023.18 = 316.92/x
  3. Step 3: Cross multiply
    682.03x = 1,023.18 × 316.92
  4. Step 4: Simplify right side
    682.03x = 324,264.62
  5. Step 5: Solve for x
    x = 324,264.62/682.03
  6. Step 6: Final answer
    x = 475.44

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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.