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Finding the Fourth Proportional to 685.68, 1,028.49 and 198.75

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Solution

The fourth proportional to 685.68, 1,028.49 and 198.75 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.68 : 1,028.49 = 198.75 : x
  2. Step 2: Convert to fraction form
    685.68/1,028.49 = 198.75/x
  3. Step 3: Cross multiply
    685.68x = 1,028.49 × 198.75
  4. Step 4: Simplify right side
    685.68x = 204,412.39
  5. Step 5: Solve for x
    x = 204,412.39/685.68
  6. Step 6: Final answer
    x = 298.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.