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Finding the Fourth Proportional to 728.23, 1,004.97 and 413.57

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Solution

The fourth proportional to 728.23, 1,004.97 and 413.57 is: 570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.23 : 1,004.97 = 413.57 : x
  2. Step 2: Convert to fraction form
    728.23/1,004.97 = 413.57/x
  3. Step 3: Cross multiply
    728.23x = 1,004.97 × 413.57
  4. Step 4: Simplify right side
    728.23x = 415,625.44
  5. Step 5: Solve for x
    x = 415,625.44/728.23
  6. Step 6: Final answer
    x = 570.73

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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.