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Finding the Fourth Proportional to 820.08, 1,230.12 and 272.87

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Solution

The fourth proportional to 820.08, 1,230.12 and 272.87 is: 409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,230.12 = 272.87 : x
  2. Step 2: Convert to fraction form
    820.08/1,230.12 = 272.87/x
  3. Step 3: Cross multiply
    820.08x = 1,230.12 × 272.87
  4. Step 4: Simplify right side
    820.08x = 335,662.84
  5. Step 5: Solve for x
    x = 335,662.84/820.08
  6. Step 6: Final answer
    x = 409.31

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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.