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Finding the Fourth Proportional to 1,194.57, 1,799.40 and 1,104.33

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Solution

The fourth proportional to 1,194.57, 1,799.40 and 1,104.33 is: 1,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.57 : 1,799.40 = 1,104.33 : x
  2. Step 2: Convert to fraction form
    1,194.57/1,799.40 = 1,104.33/x
  3. Step 3: Cross multiply
    1,194.57x = 1,799.40 × 1,104.33
  4. Step 4: Simplify right side
    1,194.57x = 1,987,131.40
  5. Step 5: Solve for x
    x = 1,987,131.40/1,194.57
  6. Step 6: Final answer
    x = 1,663.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.