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Finding the Fourth Proportional to 1,136.66, 1,704.56 and 443.24

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Solution

The fourth proportional to 1,136.66, 1,704.56 and 443.24 is: 664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.66 : 1,704.56 = 443.24 : x
  2. Step 2: Convert to fraction form
    1,136.66/1,704.56 = 443.24/x
  3. Step 3: Cross multiply
    1,136.66x = 1,704.56 × 443.24
  4. Step 4: Simplify right side
    1,136.66x = 755,529.17
  5. Step 5: Solve for x
    x = 755,529.17/1,136.66
  6. Step 6: Final answer
    x = 664.69

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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.