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Finding the Fourth Proportional to 827.14, 1,141.47 and 477.85

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Solution

The fourth proportional to 827.14, 1,141.47 and 477.85 is: 659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.14 : 1,141.47 = 477.85 : x
  2. Step 2: Convert to fraction form
    827.14/1,141.47 = 477.85/x
  3. Step 3: Cross multiply
    827.14x = 1,141.47 × 477.85
  4. Step 4: Simplify right side
    827.14x = 545,451.44
  5. Step 5: Solve for x
    x = 545,451.44/827.14
  6. Step 6: Final answer
    x = 659.44

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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.