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Finding the Fourth Proportional to 803.17, 1,205.86 and 413.49

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Solution

The fourth proportional to 803.17, 1,205.86 and 413.49 is: 620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.17 : 1,205.86 = 413.49 : x
  2. Step 2: Convert to fraction form
    803.17/1,205.86 = 413.49/x
  3. Step 3: Cross multiply
    803.17x = 1,205.86 × 413.49
  4. Step 4: Simplify right side
    803.17x = 498,610.02
  5. Step 5: Solve for x
    x = 498,610.02/803.17
  6. Step 6: Final answer
    x = 620.80

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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.