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Finding the Fourth Proportional to 812.91, 1,218.15 and 650.91

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Solution

The fourth proportional to 812.91, 1,218.15 and 650.91 is: 975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.91 : 1,218.15 = 650.91 : x
  2. Step 2: Convert to fraction form
    812.91/1,218.15 = 650.91/x
  3. Step 3: Cross multiply
    812.91x = 1,218.15 × 650.91
  4. Step 4: Simplify right side
    812.91x = 792,906.02
  5. Step 5: Solve for x
    x = 792,906.02/812.91
  6. Step 6: Final answer
    x = 975.39

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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.