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Finding the Fourth Proportional to 823.41, 1,136.27 and 450.40

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Solution

The fourth proportional to 823.41, 1,136.27 and 450.40 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.41 : 1,136.27 = 450.40 : x
  2. Step 2: Convert to fraction form
    823.41/1,136.27 = 450.40/x
  3. Step 3: Cross multiply
    823.41x = 1,136.27 × 450.40
  4. Step 4: Simplify right side
    823.41x = 511,770.92
  5. Step 5: Solve for x
    x = 511,770.92/823.41
  6. Step 6: Final answer
    x = 621.53

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