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Finding the Fourth Proportional to 728.12, 1,004.78 and 413.37

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Solution

The fourth proportional to 728.12, 1,004.78 and 413.37 is: 570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.12 : 1,004.78 = 413.37 : x
  2. Step 2: Convert to fraction form
    728.12/1,004.78 = 413.37/x
  3. Step 3: Cross multiply
    728.12x = 1,004.78 × 413.37
  4. Step 4: Simplify right side
    728.12x = 415,345.91
  5. Step 5: Solve for x
    x = 415,345.91/728.12
  6. Step 6: Final answer
    x = 570.44

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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.