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Finding the Fourth Proportional to 829.24, 1,243.81 and 244.22

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Solution

The fourth proportional to 829.24, 1,243.81 and 244.22 is: 366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.24 : 1,243.81 = 244.22 : x
  2. Step 2: Convert to fraction form
    829.24/1,243.81 = 244.22/x
  3. Step 3: Cross multiply
    829.24x = 1,243.81 × 244.22
  4. Step 4: Simplify right side
    829.24x = 303,757.36
  5. Step 5: Solve for x
    x = 303,757.36/829.24
  6. Step 6: Final answer
    x = 366.31

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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.