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Finding the Fourth Proportional to 1,199.45, 1,799.37 and 1,044.27

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Solution

The fourth proportional to 1,199.45, 1,799.37 and 1,044.27 is: 1,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.45 : 1,799.37 = 1,044.27 : x
  2. Step 2: Convert to fraction form
    1,199.45/1,799.37 = 1,044.27/x
  3. Step 3: Cross multiply
    1,199.45x = 1,799.37 × 1,044.27
  4. Step 4: Simplify right side
    1,199.45x = 1,879,028.11
  5. Step 5: Solve for x
    x = 1,879,028.11/1,199.45
  6. Step 6: Final answer
    x = 1,566.57

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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.