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Finding the Fourth Proportional to 823.52, 1,235.30 and 275.72

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Solution

The fourth proportional to 823.52, 1,235.30 and 275.72 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.52 : 1,235.30 = 275.72 : x
  2. Step 2: Convert to fraction form
    823.52/1,235.30 = 275.72/x
  3. Step 3: Cross multiply
    823.52x = 1,235.30 × 275.72
  4. Step 4: Simplify right side
    823.52x = 340,596.92
  5. Step 5: Solve for x
    x = 340,596.92/823.52
  6. Step 6: Final answer
    x = 413.59

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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.