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Finding the Fourth Proportional to 827.97, 1,240.13 and 552.77

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Solution

The fourth proportional to 827.97, 1,240.13 and 552.77 is: 827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.97 : 1,240.13 = 552.77 : x
  2. Step 2: Convert to fraction form
    827.97/1,240.13 = 552.77/x
  3. Step 3: Cross multiply
    827.97x = 1,240.13 × 552.77
  4. Step 4: Simplify right side
    827.97x = 685,506.66
  5. Step 5: Solve for x
    x = 685,506.66/827.97
  6. Step 6: Final answer
    x = 827.94

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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.