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Finding the Fourth Proportional to 827.65, 1,242.38 and 481.37

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Solution

The fourth proportional to 827.65, 1,242.38 and 481.37 is: 722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.65 : 1,242.38 = 481.37 : x
  2. Step 2: Convert to fraction form
    827.65/1,242.38 = 481.37/x
  3. Step 3: Cross multiply
    827.65x = 1,242.38 × 481.37
  4. Step 4: Simplify right side
    827.65x = 598,044.46
  5. Step 5: Solve for x
    x = 598,044.46/827.65
  6. Step 6: Final answer
    x = 722.58

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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.