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Finding the Fourth Proportional to 820.86, 1,231.44 and 273.06

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Solution

The fourth proportional to 820.86, 1,231.44 and 273.06 is: 409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.86 : 1,231.44 = 273.06 : x
  2. Step 2: Convert to fraction form
    820.86/1,231.44 = 273.06/x
  3. Step 3: Cross multiply
    820.86x = 1,231.44 × 273.06
  4. Step 4: Simplify right side
    820.86x = 336,257.01
  5. Step 5: Solve for x
    x = 336,257.01/820.86
  6. Step 6: Final answer
    x = 409.64

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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.