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Finding the Fourth Proportional to 827.13, 1,141.04 and 578.36

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Solution

The fourth proportional to 827.13, 1,141.04 and 578.36 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.13 : 1,141.04 = 578.36 : x
  2. Step 2: Convert to fraction form
    827.13/1,141.04 = 578.36/x
  3. Step 3: Cross multiply
    827.13x = 1,141.04 × 578.36
  4. Step 4: Simplify right side
    827.13x = 659,923.30
  5. Step 5: Solve for x
    x = 659,923.30/827.13
  6. Step 6: Final answer
    x = 797.85

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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.