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Finding the Fourth Proportional to 1,136.22, 1,704.33 and 452.22

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Solution

The fourth proportional to 1,136.22, 1,704.33 and 452.22 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.22 : 1,704.33 = 452.22 : x
  2. Step 2: Convert to fraction form
    1,136.22/1,704.33 = 452.22/x
  3. Step 3: Cross multiply
    1,136.22x = 1,704.33 × 452.22
  4. Step 4: Simplify right side
    1,136.22x = 770,732.11
  5. Step 5: Solve for x
    x = 770,732.11/1,136.22
  6. Step 6: Final answer
    x = 678.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.