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Finding the Fourth Proportional to 823.88, 1,233.42 and 534.44

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Solution

The fourth proportional to 823.88, 1,233.42 and 534.44 is: 800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.88 : 1,233.42 = 534.44 : x
  2. Step 2: Convert to fraction form
    823.88/1,233.42 = 534.44/x
  3. Step 3: Cross multiply
    823.88x = 1,233.42 × 534.44
  4. Step 4: Simplify right side
    823.88x = 659,188.98
  5. Step 5: Solve for x
    x = 659,188.98/823.88
  6. Step 6: Final answer
    x = 800.10

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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.