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Finding the Fourth Proportional to 1,448, 1,998.24 and 827

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Solution

The fourth proportional to 1,448, 1,998.24 and 827 is: 1,141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448 : 1,998.24 = 827 : x
  2. Step 2: Convert to fraction form
    1,448/1,998.24 = 827/x
  3. Step 3: Cross multiply
    1,448x = 1,998.24 × 827
  4. Step 4: Simplify right side
    1,448x = 1,652,544.48
  5. Step 5: Solve for x
    x = 1,652,544.48/1,448
  6. Step 6: Final answer
    x = 1,141.26

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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.