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Finding the Fourth Proportional to 1,216.20, 1,821.99 and 804.09

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Solution

The fourth proportional to 1,216.20, 1,821.99 and 804.09 is: 1,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.20 : 1,821.99 = 804.09 : x
  2. Step 2: Convert to fraction form
    1,216.20/1,821.99 = 804.09/x
  3. Step 3: Cross multiply
    1,216.20x = 1,821.99 × 804.09
  4. Step 4: Simplify right side
    1,216.20x = 1,465,043.94
  5. Step 5: Solve for x
    x = 1,465,043.94/1,216.20
  6. Step 6: Final answer
    x = 1,204.61

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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.