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Finding the Fourth Proportional to 829.13, 1,243.46 and 243.97

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Solution

The fourth proportional to 829.13, 1,243.46 and 243.97 is: 365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,243.46 = 243.97 : x
  2. Step 2: Convert to fraction form
    829.13/1,243.46 = 243.97/x
  3. Step 3: Cross multiply
    829.13x = 1,243.46 × 243.97
  4. Step 4: Simplify right side
    829.13x = 303,364.44
  5. Step 5: Solve for x
    x = 303,364.44/829.13
  6. Step 6: Final answer
    x = 365.89

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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.