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Finding the Fourth Proportional to 1,330.48, 1,997.49 and 1,136.73

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Solution

The fourth proportional to 1,330.48, 1,997.49 and 1,136.73 is: 1,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.48 : 1,997.49 = 1,136.73 : x
  2. Step 2: Convert to fraction form
    1,330.48/1,997.49 = 1,136.73/x
  3. Step 3: Cross multiply
    1,330.48x = 1,997.49 × 1,136.73
  4. Step 4: Simplify right side
    1,330.48x = 2,270,608.76
  5. Step 5: Solve for x
    x = 2,270,608.76/1,330.48
  6. Step 6: Final answer
    x = 1,706.60

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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.