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Finding the Fourth Proportional to 827, 1,239.40 and 461.96

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Solution

The fourth proportional to 827, 1,239.40 and 461.96 is: 692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,239.40 = 461.96 : x
  2. Step 2: Convert to fraction form
    827/1,239.40 = 461.96/x
  3. Step 3: Cross multiply
    827x = 1,239.40 × 461.96
  4. Step 4: Simplify right side
    827x = 572,553.22
  5. Step 5: Solve for x
    x = 572,553.22/827
  6. Step 6: Final answer
    x = 692.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.