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Finding the Fourth Proportional to 1,499.27, 2,252.98 and 806.44

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Solution

The fourth proportional to 1,499.27, 2,252.98 and 806.44 is: 1,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.27 : 2,252.98 = 806.44 : x
  2. Step 2: Convert to fraction form
    1,499.27/2,252.98 = 806.44/x
  3. Step 3: Cross multiply
    1,499.27x = 2,252.98 × 806.44
  4. Step 4: Simplify right side
    1,499.27x = 1,816,898.89
  5. Step 5: Solve for x
    x = 1,816,898.89/1,499.27
  6. Step 6: Final answer
    x = 1,211.85

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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.