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Finding the Fourth Proportional to 685.20, 1,025.37 and 395.22

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Solution

The fourth proportional to 685.20, 1,025.37 and 395.22 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 1,025.37 = 395.22 : x
  2. Step 2: Convert to fraction form
    685.20/1,025.37 = 395.22/x
  3. Step 3: Cross multiply
    685.20x = 1,025.37 × 395.22
  4. Step 4: Simplify right side
    685.20x = 405,246.73
  5. Step 5: Solve for x
    x = 405,246.73/685.20
  6. Step 6: Final answer
    x = 591.43

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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.