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Finding the Fourth Proportional to 827.80, 1,239.30 and 803.80

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Solution

The fourth proportional to 827.80, 1,239.30 and 803.80 is: 1,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,239.30 = 803.80 : x
  2. Step 2: Convert to fraction form
    827.80/1,239.30 = 803.80/x
  3. Step 3: Cross multiply
    827.80x = 1,239.30 × 803.80
  4. Step 4: Simplify right side
    827.80x = 996,149.34
  5. Step 5: Solve for x
    x = 996,149.34/827.80
  6. Step 6: Final answer
    x = 1,203.37

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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.