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Finding the Fourth Proportional to 728.69, 1,005.46 and 413.97

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Solution

The fourth proportional to 728.69, 1,005.46 and 413.97 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.69 : 1,005.46 = 413.97 : x
  2. Step 2: Convert to fraction form
    728.69/1,005.46 = 413.97/x
  3. Step 3: Cross multiply
    728.69x = 1,005.46 × 413.97
  4. Step 4: Simplify right side
    728.69x = 416,230.28
  5. Step 5: Solve for x
    x = 416,230.28/728.69
  6. Step 6: Final answer
    x = 571.20

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Why These Related Problems?

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