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Finding the Fourth Proportional to 797.77, 1,197.24 and 413.29

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Solution

The fourth proportional to 797.77, 1,197.24 and 413.29 is: 620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.77 : 1,197.24 = 413.29 : x
  2. Step 2: Convert to fraction form
    797.77/1,197.24 = 413.29/x
  3. Step 3: Cross multiply
    797.77x = 1,197.24 × 413.29
  4. Step 4: Simplify right side
    797.77x = 494,807.32
  5. Step 5: Solve for x
    x = 494,807.32/797.77
  6. Step 6: Final answer
    x = 620.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.