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Finding the Fourth Proportional to 1,136.42, 1,704.51 and 519.97

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Solution

The fourth proportional to 1,136.42, 1,704.51 and 519.97 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.42 : 1,704.51 = 519.97 : x
  2. Step 2: Convert to fraction form
    1,136.42/1,704.51 = 519.97/x
  3. Step 3: Cross multiply
    1,136.42x = 1,704.51 × 519.97
  4. Step 4: Simplify right side
    1,136.42x = 886,294.06
  5. Step 5: Solve for x
    x = 886,294.06/1,136.42
  6. Step 6: Final answer
    x = 779.90

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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.