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Finding the Fourth Proportional to 820.84, 1,231.41 and 273.05

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Solution

The fourth proportional to 820.84, 1,231.41 and 273.05 is: 409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.84 : 1,231.41 = 273.05 : x
  2. Step 2: Convert to fraction form
    820.84/1,231.41 = 273.05/x
  3. Step 3: Cross multiply
    820.84x = 1,231.41 × 273.05
  4. Step 4: Simplify right side
    820.84x = 336,236.50
  5. Step 5: Solve for x
    x = 336,236.50/820.84
  6. Step 6: Final answer
    x = 409.62

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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.