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Finding the Fourth Proportional to 807.25, 1,208.85 and 733.27

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Solution

The fourth proportional to 807.25, 1,208.85 and 733.27 is: 1,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.25 : 1,208.85 = 733.27 : x
  2. Step 2: Convert to fraction form
    807.25/1,208.85 = 733.27/x
  3. Step 3: Cross multiply
    807.25x = 1,208.85 × 733.27
  4. Step 4: Simplify right side
    807.25x = 886,413.44
  5. Step 5: Solve for x
    x = 886,413.44/807.25
  6. Step 6: Final answer
    x = 1,098.07

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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.