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Finding the Fourth Proportional to 820.77, 1,231.38 and 272.94

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Solution

The fourth proportional to 820.77, 1,231.38 and 272.94 is: 409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.77 : 1,231.38 = 272.94 : x
  2. Step 2: Convert to fraction form
    820.77/1,231.38 = 272.94/x
  3. Step 3: Cross multiply
    820.77x = 1,231.38 × 272.94
  4. Step 4: Simplify right side
    820.77x = 336,092.86
  5. Step 5: Solve for x
    x = 336,092.86/820.77
  6. Step 6: Final answer
    x = 409.48

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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.