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Finding the Fourth Proportional to 892.97, 1,336.55 and 809.90

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Solution

The fourth proportional to 892.97, 1,336.55 and 809.90 is: 1,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.97 : 1,336.55 = 809.90 : x
  2. Step 2: Convert to fraction form
    892.97/1,336.55 = 809.90/x
  3. Step 3: Cross multiply
    892.97x = 1,336.55 × 809.90
  4. Step 4: Simplify right side
    892.97x = 1,082,470.68
  5. Step 5: Solve for x
    x = 1,082,470.68/892.97
  6. Step 6: Final answer
    x = 1,212.21

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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.