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Finding the Fourth Proportional to 1,136.16, 1,703.16 and 443.27

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Solution

The fourth proportional to 1,136.16, 1,703.16 and 443.27 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.16 : 1,703.16 = 443.27 : x
  2. Step 2: Convert to fraction form
    1,136.16/1,703.16 = 443.27/x
  3. Step 3: Cross multiply
    1,136.16x = 1,703.16 × 443.27
  4. Step 4: Simplify right side
    1,136.16x = 754,963.99
  5. Step 5: Solve for x
    x = 754,963.99/1,136.16
  6. Step 6: Final answer
    x = 664.49

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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.