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Finding the Fourth Proportional to 820.94, 1,231.58 and 273.13

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Solution

The fourth proportional to 820.94, 1,231.58 and 273.13 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.94 : 1,231.58 = 273.13 : x
  2. Step 2: Convert to fraction form
    820.94/1,231.58 = 273.13/x
  3. Step 3: Cross multiply
    820.94x = 1,231.58 × 273.13
  4. Step 4: Simplify right side
    820.94x = 336,379.05
  5. Step 5: Solve for x
    x = 336,379.05/820.94
  6. Step 6: Final answer
    x = 409.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.