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Finding the Fourth Proportional to 823.98, 1,234.06 and 534.54

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Solution

The fourth proportional to 823.98, 1,234.06 and 534.54 is: 800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.98 : 1,234.06 = 534.54 : x
  2. Step 2: Convert to fraction form
    823.98/1,234.06 = 534.54/x
  3. Step 3: Cross multiply
    823.98x = 1,234.06 × 534.54
  4. Step 4: Simplify right side
    823.98x = 659,654.43
  5. Step 5: Solve for x
    x = 659,654.43/823.98
  6. Step 6: Final answer
    x = 800.57

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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.