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Finding the Fourth Proportional to 823.82, 1,235.46 and 275.84

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Solution

The fourth proportional to 823.82, 1,235.46 and 275.84 is: 413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.82 : 1,235.46 = 275.84 : x
  2. Step 2: Convert to fraction form
    823.82/1,235.46 = 275.84/x
  3. Step 3: Cross multiply
    823.82x = 1,235.46 × 275.84
  4. Step 4: Simplify right side
    823.82x = 340,789.29
  5. Step 5: Solve for x
    x = 340,789.29/823.82
  6. Step 6: Final answer
    x = 413.67

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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.