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Finding the Fourth Proportional to 872.17, 1,201.26 and 806.48

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Solution

The fourth proportional to 872.17, 1,201.26 and 806.48 is: 1,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.17 : 1,201.26 = 806.48 : x
  2. Step 2: Convert to fraction form
    872.17/1,201.26 = 806.48/x
  3. Step 3: Cross multiply
    872.17x = 1,201.26 × 806.48
  4. Step 4: Simplify right side
    872.17x = 968,792.14
  5. Step 5: Solve for x
    x = 968,792.14/872.17
  6. Step 6: Final answer
    x = 1,110.78

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Why These Related Problems?

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