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Finding the Fourth Proportional to 827.23, 1,240.80 and 271.93

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Solution

The fourth proportional to 827.23, 1,240.80 and 271.93 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.23 : 1,240.80 = 271.93 : x
  2. Step 2: Convert to fraction form
    827.23/1,240.80 = 271.93/x
  3. Step 3: Cross multiply
    827.23x = 1,240.80 × 271.93
  4. Step 4: Simplify right side
    827.23x = 337,410.74
  5. Step 5: Solve for x
    x = 337,410.74/827.23
  6. Step 6: Final answer
    x = 407.88

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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.