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Finding the Fourth Proportional to 823.56, 1,234.92 and 303.44

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Solution

The fourth proportional to 823.56, 1,234.92 and 303.44 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.56 : 1,234.92 = 303.44 : x
  2. Step 2: Convert to fraction form
    823.56/1,234.92 = 303.44/x
  3. Step 3: Cross multiply
    823.56x = 1,234.92 × 303.44
  4. Step 4: Simplify right side
    823.56x = 374,724.12
  5. Step 5: Solve for x
    x = 374,724.12/823.56
  6. Step 6: Final answer
    x = 455.01

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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.