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Finding the Fourth Proportional to 1,194.27, 1,649.49 and 1,089.17

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Solution

The fourth proportional to 1,194.27, 1,649.49 and 1,089.17 is: 1,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.27 : 1,649.49 = 1,089.17 : x
  2. Step 2: Convert to fraction form
    1,194.27/1,649.49 = 1,089.17/x
  3. Step 3: Cross multiply
    1,194.27x = 1,649.49 × 1,089.17
  4. Step 4: Simplify right side
    1,194.27x = 1,796,576.42
  5. Step 5: Solve for x
    x = 1,796,576.42/1,194.27
  6. Step 6: Final answer
    x = 1,504.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.