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Finding the Fourth Proportional to 804.45, 1,205.76 and 413.85

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Solution

The fourth proportional to 804.45, 1,205.76 and 413.85 is: 620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.45 : 1,205.76 = 413.85 : x
  2. Step 2: Convert to fraction form
    804.45/1,205.76 = 413.85/x
  3. Step 3: Cross multiply
    804.45x = 1,205.76 × 413.85
  4. Step 4: Simplify right side
    804.45x = 499,003.78
  5. Step 5: Solve for x
    x = 499,003.78/804.45
  6. Step 6: Final answer
    x = 620.30

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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.