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Finding the Fourth Proportional to 777.90, 1,168.20 and 413.40

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Solution

The fourth proportional to 777.90, 1,168.20 and 413.40 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.90 : 1,168.20 = 413.40 : x
  2. Step 2: Convert to fraction form
    777.90/1,168.20 = 413.40/x
  3. Step 3: Cross multiply
    777.90x = 1,168.20 × 413.40
  4. Step 4: Simplify right side
    777.90x = 482,933.88
  5. Step 5: Solve for x
    x = 482,933.88/777.90
  6. Step 6: Final answer
    x = 620.82

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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.