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Finding the Fourth Proportional to 812.77, 1,120.52 and 680.15

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Solution

The fourth proportional to 812.77, 1,120.52 and 680.15 is: 937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.77 : 1,120.52 = 680.15 : x
  2. Step 2: Convert to fraction form
    812.77/1,120.52 = 680.15/x
  3. Step 3: Cross multiply
    812.77x = 1,120.52 × 680.15
  4. Step 4: Simplify right side
    812.77x = 762,126.18
  5. Step 5: Solve for x
    x = 762,126.18/812.77
  6. Step 6: Final answer
    x = 937.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.