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Finding the Fourth Proportional to 687.26, 1,028.32 and 408.60

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Solution

The fourth proportional to 687.26, 1,028.32 and 408.60 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.26 : 1,028.32 = 408.60 : x
  2. Step 2: Convert to fraction form
    687.26/1,028.32 = 408.60/x
  3. Step 3: Cross multiply
    687.26x = 1,028.32 × 408.60
  4. Step 4: Simplify right side
    687.26x = 420,170.53
  5. Step 5: Solve for x
    x = 420,170.53/687.26
  6. Step 6: Final answer
    x = 611.37

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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.