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Finding the Fourth Proportional to 1,049.97, 1,448.97 and 584.22

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Solution

The fourth proportional to 1,049.97, 1,448.97 and 584.22 is: 806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,448.97 = 584.22 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,448.97 = 584.22/x
  3. Step 3: Cross multiply
    1,049.97x = 1,448.97 × 584.22
  4. Step 4: Simplify right side
    1,049.97x = 846,517.25
  5. Step 5: Solve for x
    x = 846,517.25/1,049.97
  6. Step 6: Final answer
    x = 806.23

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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.