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Finding the Fourth Proportional to 1,136.35, 1,700.22 and 769.31

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Solution

The fourth proportional to 1,136.35, 1,700.22 and 769.31 is: 1,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.35 : 1,700.22 = 769.31 : x
  2. Step 2: Convert to fraction form
    1,136.35/1,700.22 = 769.31/x
  3. Step 3: Cross multiply
    1,136.35x = 1,700.22 × 769.31
  4. Step 4: Simplify right side
    1,136.35x = 1,307,996.25
  5. Step 5: Solve for x
    x = 1,307,996.25/1,136.35
  6. Step 6: Final answer
    x = 1,151.05

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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.