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Finding the Fourth Proportional to 685.94, 1,028.61 and 198.88

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Solution

The fourth proportional to 685.94, 1,028.61 and 198.88 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.94 : 1,028.61 = 198.88 : x
  2. Step 2: Convert to fraction form
    685.94/1,028.61 = 198.88/x
  3. Step 3: Cross multiply
    685.94x = 1,028.61 × 198.88
  4. Step 4: Simplify right side
    685.94x = 204,569.96
  5. Step 5: Solve for x
    x = 204,569.96/685.94
  6. Step 6: Final answer
    x = 298.23

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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.