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Finding the Fourth Proportional to 803.12, 1,205.43 and 413.25

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Solution

The fourth proportional to 803.12, 1,205.43 and 413.25 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,205.43 = 413.25 : x
  2. Step 2: Convert to fraction form
    803.12/1,205.43 = 413.25/x
  3. Step 3: Cross multiply
    803.12x = 1,205.43 × 413.25
  4. Step 4: Simplify right side
    803.12x = 498,146.98
  5. Step 5: Solve for x
    x = 498,146.98/803.12
  6. Step 6: Final answer
    x = 620.27

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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.