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Finding the Fourth Proportional to 728.02, 1,004.42 and 413.25

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Solution

The fourth proportional to 728.02, 1,004.42 and 413.25 is: 570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.02 : 1,004.42 = 413.25 : x
  2. Step 2: Convert to fraction form
    728.02/1,004.42 = 413.25/x
  3. Step 3: Cross multiply
    728.02x = 1,004.42 × 413.25
  4. Step 4: Simplify right side
    728.02x = 415,076.57
  5. Step 5: Solve for x
    x = 415,076.57/728.02
  6. Step 6: Final answer
    x = 570.14

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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.