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Finding the Fourth Proportional to 823.38, 1,235.16 and 275.73

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Solution

The fourth proportional to 823.38, 1,235.16 and 275.73 is: 413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,235.16 = 275.73 : x
  2. Step 2: Convert to fraction form
    823.38/1,235.16 = 275.73/x
  3. Step 3: Cross multiply
    823.38x = 1,235.16 × 275.73
  4. Step 4: Simplify right side
    823.38x = 340,570.67
  5. Step 5: Solve for x
    x = 340,570.67/823.38
  6. Step 6: Final answer
    x = 413.63

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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.