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Finding the Fourth Proportional to 827.59, 1,141.78 and 491.41

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Solution

The fourth proportional to 827.59, 1,141.78 and 491.41 is: 677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.59 : 1,141.78 = 491.41 : x
  2. Step 2: Convert to fraction form
    827.59/1,141.78 = 491.41/x
  3. Step 3: Cross multiply
    827.59x = 1,141.78 × 491.41
  4. Step 4: Simplify right side
    827.59x = 561,082.11
  5. Step 5: Solve for x
    x = 561,082.11/827.59
  6. Step 6: Final answer
    x = 677.97

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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.