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Finding the Fourth Proportional to 1,033.92, 1,556.38 and 793.44

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Solution

The fourth proportional to 1,033.92, 1,556.38 and 793.44 is: 1,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.92 : 1,556.38 = 793.44 : x
  2. Step 2: Convert to fraction form
    1,033.92/1,556.38 = 793.44/x
  3. Step 3: Cross multiply
    1,033.92x = 1,556.38 × 793.44
  4. Step 4: Simplify right side
    1,033.92x = 1,234,894.15
  5. Step 5: Solve for x
    x = 1,234,894.15/1,033.92
  6. Step 6: Final answer
    x = 1,194.38

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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.