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Finding the Fourth Proportional to 811.98, 1,218.20 and 441.71

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Solution

The fourth proportional to 811.98, 1,218.20 and 441.71 is: 662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.98 : 1,218.20 = 441.71 : x
  2. Step 2: Convert to fraction form
    811.98/1,218.20 = 441.71/x
  3. Step 3: Cross multiply
    811.98x = 1,218.20 × 441.71
  4. Step 4: Simplify right side
    811.98x = 538,091.12
  5. Step 5: Solve for x
    x = 538,091.12/811.98
  6. Step 6: Final answer
    x = 662.69

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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.