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Finding the Fourth Proportional to 829.22, 1,243.83 and 252.09

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Solution

The fourth proportional to 829.22, 1,243.83 and 252.09 is: 378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.22 : 1,243.83 = 252.09 : x
  2. Step 2: Convert to fraction form
    829.22/1,243.83 = 252.09/x
  3. Step 3: Cross multiply
    829.22x = 1,243.83 × 252.09
  4. Step 4: Simplify right side
    829.22x = 313,557.10
  5. Step 5: Solve for x
    x = 313,557.10/829.22
  6. Step 6: Final answer
    x = 378.14

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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.