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Finding the Fourth Proportional to 829.06, 1,243.63 and 273.80

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Solution

The fourth proportional to 829.06, 1,243.63 and 273.80 is: 410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.06 : 1,243.63 = 273.80 : x
  2. Step 2: Convert to fraction form
    829.06/1,243.63 = 273.80/x
  3. Step 3: Cross multiply
    829.06x = 1,243.63 × 273.80
  4. Step 4: Simplify right side
    829.06x = 340,505.89
  5. Step 5: Solve for x
    x = 340,505.89/829.06
  6. Step 6: Final answer
    x = 410.71

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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.