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Finding the Fourth Proportional to 797.74, 1,197.15 and 413.26

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Solution

The fourth proportional to 797.74, 1,197.15 and 413.26 is: 620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.74 : 1,197.15 = 413.26 : x
  2. Step 2: Convert to fraction form
    797.74/1,197.15 = 413.26/x
  3. Step 3: Cross multiply
    797.74x = 1,197.15 × 413.26
  4. Step 4: Simplify right side
    797.74x = 494,734.21
  5. Step 5: Solve for x
    x = 494,734.21/797.74
  6. Step 6: Final answer
    x = 620.17

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Why These Related Problems?

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