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Finding the Fourth Proportional to 1,467.69, 2,201.77 and 727.33

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Solution

The fourth proportional to 1,467.69, 2,201.77 and 727.33 is: 1,091.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.69 : 2,201.77 = 727.33 : x
  2. Step 2: Convert to fraction form
    1,467.69/2,201.77 = 727.33/x
  3. Step 3: Cross multiply
    1,467.69x = 2,201.77 × 727.33
  4. Step 4: Simplify right side
    1,467.69x = 1,601,413.37
  5. Step 5: Solve for x
    x = 1,601,413.37/1,467.69
  6. Step 6: Final answer
    x = 1,091.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.