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Finding the Fourth Proportional to 728.80, 1,005.62 and 413.94

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Solution

The fourth proportional to 728.80, 1,005.62 and 413.94 is: 571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.80 : 1,005.62 = 413.94 : x
  2. Step 2: Convert to fraction form
    728.80/1,005.62 = 413.94/x
  3. Step 3: Cross multiply
    728.80x = 1,005.62 × 413.94
  4. Step 4: Simplify right side
    728.80x = 416,268.04
  5. Step 5: Solve for x
    x = 416,268.04/728.80
  6. Step 6: Final answer
    x = 571.17

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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.