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Finding the Fourth Proportional to 728.17, 1,004.78 and 413.43

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Solution

The fourth proportional to 728.17, 1,004.78 and 413.43 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.17 : 1,004.78 = 413.43 : x
  2. Step 2: Convert to fraction form
    728.17/1,004.78 = 413.43/x
  3. Step 3: Cross multiply
    728.17x = 1,004.78 × 413.43
  4. Step 4: Simplify right side
    728.17x = 415,403.00
  5. Step 5: Solve for x
    x = 415,403.00/728.17
  6. Step 6: Final answer
    x = 570.48

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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.