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Finding the Fourth Proportional to 803.70, 1,205.76 and 413.82

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Solution

The fourth proportional to 803.70, 1,205.76 and 413.82 is: 620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.70 : 1,205.76 = 413.82 : x
  2. Step 2: Convert to fraction form
    803.70/1,205.76 = 413.82/x
  3. Step 3: Cross multiply
    803.70x = 1,205.76 × 413.82
  4. Step 4: Simplify right side
    803.70x = 498,967.60
  5. Step 5: Solve for x
    x = 498,967.60/803.70
  6. Step 6: Final answer
    x = 620.84

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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.