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Finding the Fourth Proportional to 872.33, 1,311.24 and 806.72

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Solution

The fourth proportional to 872.33, 1,311.24 and 806.72 is: 1,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.33 : 1,311.24 = 806.72 : x
  2. Step 2: Convert to fraction form
    872.33/1,311.24 = 806.72/x
  3. Step 3: Cross multiply
    872.33x = 1,311.24 × 806.72
  4. Step 4: Simplify right side
    872.33x = 1,057,803.53
  5. Step 5: Solve for x
    x = 1,057,803.53/872.33
  6. Step 6: Final answer
    x = 1,212.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.