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Finding the Fourth Proportional to 823.72, 1,234.34 and 361.06

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Solution

The fourth proportional to 823.72, 1,234.34 and 361.06 is: 541.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.72 : 1,234.34 = 361.06 : x
  2. Step 2: Convert to fraction form
    823.72/1,234.34 = 361.06/x
  3. Step 3: Cross multiply
    823.72x = 1,234.34 × 361.06
  4. Step 4: Simplify right side
    823.72x = 445,670.80
  5. Step 5: Solve for x
    x = 445,670.80/823.72
  6. Step 6: Final answer
    x = 541.05

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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.