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Finding the Fourth Proportional to 823.78, 1,235.68 and 275.96

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Solution

The fourth proportional to 823.78, 1,235.68 and 275.96 is: 413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.78 : 1,235.68 = 275.96 : x
  2. Step 2: Convert to fraction form
    823.78/1,235.68 = 275.96/x
  3. Step 3: Cross multiply
    823.78x = 1,235.68 × 275.96
  4. Step 4: Simplify right side
    823.78x = 341,002.89
  5. Step 5: Solve for x
    x = 341,002.89/823.78
  6. Step 6: Final answer
    x = 413.95

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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.