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Finding the Fourth Proportional to 827, 1,141.26 and 459

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Solution

The fourth proportional to 827, 1,141.26 and 459 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,141.26 = 459 : x
  2. Step 2: Convert to fraction form
    827/1,141.26 = 459/x
  3. Step 3: Cross multiply
    827x = 1,141.26 × 459
  4. Step 4: Simplify right side
    827x = 523,838.34
  5. Step 5: Solve for x
    x = 523,838.34/827
  6. Step 6: Final answer
    x = 633.42

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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.