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Finding the Fourth Proportional to 823.13, 1,234.63 and 206.82

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Solution

The fourth proportional to 823.13, 1,234.63 and 206.82 is: 310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.13 : 1,234.63 = 206.82 : x
  2. Step 2: Convert to fraction form
    823.13/1,234.63 = 206.82/x
  3. Step 3: Cross multiply
    823.13x = 1,234.63 × 206.82
  4. Step 4: Simplify right side
    823.13x = 255,346.18
  5. Step 5: Solve for x
    x = 255,346.18/823.13
  6. Step 6: Final answer
    x = 310.21

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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.