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Finding the Fourth Proportional to 827.09, 1,242.45 and 706.80

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Solution

The fourth proportional to 827.09, 1,242.45 and 706.80 is: 1,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.09 : 1,242.45 = 706.80 : x
  2. Step 2: Convert to fraction form
    827.09/1,242.45 = 706.80/x
  3. Step 3: Cross multiply
    827.09x = 1,242.45 × 706.80
  4. Step 4: Simplify right side
    827.09x = 878,163.66
  5. Step 5: Solve for x
    x = 878,163.66/827.09
  6. Step 6: Final answer
    x = 1,061.76

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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.