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Finding the Fourth Proportional to 820.82, 1,231.50 and 273.08

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Solution

The fourth proportional to 820.82, 1,231.50 and 273.08 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.82 : 1,231.50 = 273.08 : x
  2. Step 2: Convert to fraction form
    820.82/1,231.50 = 273.08/x
  3. Step 3: Cross multiply
    820.82x = 1,231.50 × 273.08
  4. Step 4: Simplify right side
    820.82x = 336,298.02
  5. Step 5: Solve for x
    x = 336,298.02/820.82
  6. Step 6: Final answer
    x = 409.71

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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.