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Finding the Fourth Proportional to 821.12, 1,230.84 and 272.93

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Solution

The fourth proportional to 821.12, 1,230.84 and 272.93 is: 409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.12 : 1,230.84 = 272.93 : x
  2. Step 2: Convert to fraction form
    821.12/1,230.84 = 272.93/x
  3. Step 3: Cross multiply
    821.12x = 1,230.84 × 272.93
  4. Step 4: Simplify right side
    821.12x = 335,927.01
  5. Step 5: Solve for x
    x = 335,927.01/821.12
  6. Step 6: Final answer
    x = 409.11

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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.