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Finding the Fourth Proportional to 1,136.99, 1,704.66 and 443.07

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Solution

The fourth proportional to 1,136.99, 1,704.66 and 443.07 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.99 : 1,704.66 = 443.07 : x
  2. Step 2: Convert to fraction form
    1,136.99/1,704.66 = 443.07/x
  3. Step 3: Cross multiply
    1,136.99x = 1,704.66 × 443.07
  4. Step 4: Simplify right side
    1,136.99x = 755,283.71
  5. Step 5: Solve for x
    x = 755,283.71/1,136.99
  6. Step 6: Final answer
    x = 664.29

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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.