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Finding the Fourth Proportional to 823.50, 1,234.17 and 458.46

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Solution

The fourth proportional to 823.50, 1,234.17 and 458.46 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,234.17 = 458.46 : x
  2. Step 2: Convert to fraction form
    823.50/1,234.17 = 458.46/x
  3. Step 3: Cross multiply
    823.50x = 1,234.17 × 458.46
  4. Step 4: Simplify right side
    823.50x = 565,817.58
  5. Step 5: Solve for x
    x = 565,817.58/823.50
  6. Step 6: Final answer
    x = 687.09

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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.