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Finding the Fourth Proportional to 823.45, 1,136.39 and 450.44

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Solution

The fourth proportional to 823.45, 1,136.39 and 450.44 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.45 : 1,136.39 = 450.44 : x
  2. Step 2: Convert to fraction form
    823.45/1,136.39 = 450.44/x
  3. Step 3: Cross multiply
    823.45x = 1,136.39 × 450.44
  4. Step 4: Simplify right side
    823.45x = 511,874.39
  5. Step 5: Solve for x
    x = 511,874.39/823.45
  6. Step 6: Final answer
    x = 621.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.