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Finding the Fourth Proportional to 685.28, 1,027.76 and 198.22

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Solution

The fourth proportional to 685.28, 1,027.76 and 198.22 is: 297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.28 : 1,027.76 = 198.22 : x
  2. Step 2: Convert to fraction form
    685.28/1,027.76 = 198.22/x
  3. Step 3: Cross multiply
    685.28x = 1,027.76 × 198.22
  4. Step 4: Simplify right side
    685.28x = 203,722.59
  5. Step 5: Solve for x
    x = 203,722.59/685.28
  6. Step 6: Final answer
    x = 297.28

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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.