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Finding the Fourth Proportional to 685.90, 1,028.87 and 198.98

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Solution

The fourth proportional to 685.90, 1,028.87 and 198.98 is: 298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.90 : 1,028.87 = 198.98 : x
  2. Step 2: Convert to fraction form
    685.90/1,028.87 = 198.98/x
  3. Step 3: Cross multiply
    685.90x = 1,028.87 × 198.98
  4. Step 4: Simplify right side
    685.90x = 204,724.55
  5. Step 5: Solve for x
    x = 204,724.55/685.90
  6. Step 6: Final answer
    x = 298.48

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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.