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Finding the Fourth Proportional to 728.33, 1,004.85 and 413.56

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Solution

The fourth proportional to 728.33, 1,004.85 and 413.56 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.33 : 1,004.85 = 413.56 : x
  2. Step 2: Convert to fraction form
    728.33/1,004.85 = 413.56/x
  3. Step 3: Cross multiply
    728.33x = 1,004.85 × 413.56
  4. Step 4: Simplify right side
    728.33x = 415,565.77
  5. Step 5: Solve for x
    x = 415,565.77/728.33
  6. Step 6: Final answer
    x = 570.57

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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.