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Finding the Fourth Proportional to 803.86, 1,206.36 and 413.64

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Solution

The fourth proportional to 803.86, 1,206.36 and 413.64 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.86 : 1,206.36 = 413.64 : x
  2. Step 2: Convert to fraction form
    803.86/1,206.36 = 413.64/x
  3. Step 3: Cross multiply
    803.86x = 1,206.36 × 413.64
  4. Step 4: Simplify right side
    803.86x = 498,998.75
  5. Step 5: Solve for x
    x = 498,998.75/803.86
  6. Step 6: Final answer
    x = 620.76

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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.