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Finding the Fourth Proportional to 685.96, 1,029 and 199.02

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Solution

The fourth proportional to 685.96, 1,029 and 199.02 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.96 : 1,029 = 199.02 : x
  2. Step 2: Convert to fraction form
    685.96/1,029 = 199.02/x
  3. Step 3: Cross multiply
    685.96x = 1,029 × 199.02
  4. Step 4: Simplify right side
    685.96x = 204,791.58
  5. Step 5: Solve for x
    x = 204,791.58/685.96
  6. Step 6: Final answer
    x = 298.55

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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.