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Finding the Fourth Proportional to 682.05, 1,023.12 and 330.55

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Solution

The fourth proportional to 682.05, 1,023.12 and 330.55 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.05 : 1,023.12 = 330.55 : x
  2. Step 2: Convert to fraction form
    682.05/1,023.12 = 330.55/x
  3. Step 3: Cross multiply
    682.05x = 1,023.12 × 330.55
  4. Step 4: Simplify right side
    682.05x = 338,190.69
  5. Step 5: Solve for x
    x = 338,190.69/682.05
  6. Step 6: Final answer
    x = 495.85

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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.