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Finding the Fourth Proportional to 804.46, 1,205.10 and 413.92

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Solution

The fourth proportional to 804.46, 1,205.10 and 413.92 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.46 : 1,205.10 = 413.92 : x
  2. Step 2: Convert to fraction form
    804.46/1,205.10 = 413.92/x
  3. Step 3: Cross multiply
    804.46x = 1,205.10 × 413.92
  4. Step 4: Simplify right side
    804.46x = 498,814.99
  5. Step 5: Solve for x
    x = 498,814.99/804.46
  6. Step 6: Final answer
    x = 620.06

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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.