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Finding the Fourth Proportional to 829.29, 1,243.97 and 213.02

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Solution

The fourth proportional to 829.29, 1,243.97 and 213.02 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.29 : 1,243.97 = 213.02 : x
  2. Step 2: Convert to fraction form
    829.29/1,243.97 = 213.02/x
  3. Step 3: Cross multiply
    829.29x = 1,243.97 × 213.02
  4. Step 4: Simplify right side
    829.29x = 264,990.49
  5. Step 5: Solve for x
    x = 264,990.49/829.29
  6. Step 6: Final answer
    x = 319.54

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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.