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Finding the Fourth Proportional to 921.97, 1,382.96 and 800.47

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Solution

The fourth proportional to 921.97, 1,382.96 and 800.47 is: 1,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.97 : 1,382.96 = 800.47 : x
  2. Step 2: Convert to fraction form
    921.97/1,382.96 = 800.47/x
  3. Step 3: Cross multiply
    921.97x = 1,382.96 × 800.47
  4. Step 4: Simplify right side
    921.97x = 1,107,017.99
  5. Step 5: Solve for x
    x = 1,107,017.99/921.97
  6. Step 6: Final answer
    x = 1,200.71

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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.