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Finding the Fourth Proportional to 829.09, 1,243.46 and 251.83

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Solution

The fourth proportional to 829.09, 1,243.46 and 251.83 is: 377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.09 : 1,243.46 = 251.83 : x
  2. Step 2: Convert to fraction form
    829.09/1,243.46 = 251.83/x
  3. Step 3: Cross multiply
    829.09x = 1,243.46 × 251.83
  4. Step 4: Simplify right side
    829.09x = 313,139.27
  5. Step 5: Solve for x
    x = 313,139.27/829.09
  6. Step 6: Final answer
    x = 377.69

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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.