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Finding the Fourth Proportional to 827.22, 1,240.52 and 271.80

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Solution

The fourth proportional to 827.22, 1,240.52 and 271.80 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.22 : 1,240.52 = 271.80 : x
  2. Step 2: Convert to fraction form
    827.22/1,240.52 = 271.80/x
  3. Step 3: Cross multiply
    827.22x = 1,240.52 × 271.80
  4. Step 4: Simplify right side
    827.22x = 337,173.34
  5. Step 5: Solve for x
    x = 337,173.34/827.22
  6. Step 6: Final answer
    x = 407.60

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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.