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Finding the Fourth Proportional to 728.06, 1,004.87 and 413.47

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Solution

The fourth proportional to 728.06, 1,004.87 and 413.47 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.06 : 1,004.87 = 413.47 : x
  2. Step 2: Convert to fraction form
    728.06/1,004.87 = 413.47/x
  3. Step 3: Cross multiply
    728.06x = 1,004.87 × 413.47
  4. Step 4: Simplify right side
    728.06x = 415,476.51
  5. Step 5: Solve for x
    x = 415,476.51/728.06
  6. Step 6: Final answer
    x = 570.66

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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.