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Finding the Fourth Proportional to 685.30, 1,028.11 and 198.34

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Solution

The fourth proportional to 685.30, 1,028.11 and 198.34 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.30 : 1,028.11 = 198.34 : x
  2. Step 2: Convert to fraction form
    685.30/1,028.11 = 198.34/x
  3. Step 3: Cross multiply
    685.30x = 1,028.11 × 198.34
  4. Step 4: Simplify right side
    685.30x = 203,915.34
  5. Step 5: Solve for x
    x = 203,915.34/685.30
  6. Step 6: Final answer
    x = 297.56

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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.