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Finding the Fourth Proportional to 1,049.87, 1,448.88 and 584.12

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Solution

The fourth proportional to 1,049.87, 1,448.88 and 584.12 is: 806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.87 : 1,448.88 = 584.12 : x
  2. Step 2: Convert to fraction form
    1,049.87/1,448.88 = 584.12/x
  3. Step 3: Cross multiply
    1,049.87x = 1,448.88 × 584.12
  4. Step 4: Simplify right side
    1,049.87x = 846,321.22
  5. Step 5: Solve for x
    x = 846,321.22/1,049.87
  6. Step 6: Final answer
    x = 806.12

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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.