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Finding the Fourth Proportional to 685.45, 1,027.57 and 320.68

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Solution

The fourth proportional to 685.45, 1,027.57 and 320.68 is: 480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.45 : 1,027.57 = 320.68 : x
  2. Step 2: Convert to fraction form
    685.45/1,027.57 = 320.68/x
  3. Step 3: Cross multiply
    685.45x = 1,027.57 × 320.68
  4. Step 4: Simplify right side
    685.45x = 329,519.54
  5. Step 5: Solve for x
    x = 329,519.54/685.45
  6. Step 6: Final answer
    x = 480.73

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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.