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Finding the Fourth Proportional to 829.22, 1,243.86 and 273.75

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Solution

The fourth proportional to 829.22, 1,243.86 and 273.75 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.22 : 1,243.86 = 273.75 : x
  2. Step 2: Convert to fraction form
    829.22/1,243.86 = 273.75/x
  3. Step 3: Cross multiply
    829.22x = 1,243.86 × 273.75
  4. Step 4: Simplify right side
    829.22x = 340,508.42
  5. Step 5: Solve for x
    x = 340,508.42/829.22
  6. Step 6: Final answer
    x = 410.64

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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.