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Finding the Fourth Proportional to 728.00, 1,004.61 and 413.25

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Solution

The fourth proportional to 728.00, 1,004.61 and 413.25 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.00 : 1,004.61 = 413.25 : x
  2. Step 2: Convert to fraction form
    728.00/1,004.61 = 413.25/x
  3. Step 3: Cross multiply
    728.00x = 1,004.61 × 413.25
  4. Step 4: Simplify right side
    728.00x = 415,155.08
  5. Step 5: Solve for x
    x = 415,155.08/728.00
  6. Step 6: Final answer
    x = 570.27

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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.