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Finding the Fourth Proportional to 812.52, 1,216.62 and 668.88

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Solution

The fourth proportional to 812.52, 1,216.62 and 668.88 is: 1,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.52 : 1,216.62 = 668.88 : x
  2. Step 2: Convert to fraction form
    812.52/1,216.62 = 668.88/x
  3. Step 3: Cross multiply
    812.52x = 1,216.62 × 668.88
  4. Step 4: Simplify right side
    812.52x = 813,772.79
  5. Step 5: Solve for x
    x = 813,772.79/812.52
  6. Step 6: Final answer
    x = 1,001.54

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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.