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Finding the Fourth Proportional to 1,136.24, 1,704.42 and 551.16

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Solution

The fourth proportional to 1,136.24, 1,704.42 and 551.16 is: 826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.24 : 1,704.42 = 551.16 : x
  2. Step 2: Convert to fraction form
    1,136.24/1,704.42 = 551.16/x
  3. Step 3: Cross multiply
    1,136.24x = 1,704.42 × 551.16
  4. Step 4: Simplify right side
    1,136.24x = 939,408.13
  5. Step 5: Solve for x
    x = 939,408.13/1,136.24
  6. Step 6: Final answer
    x = 826.77

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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.