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Finding the Fourth Proportional to 1,136.78, 1,568.72 and 743.79

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Solution

The fourth proportional to 1,136.78, 1,568.72 and 743.79 is: 1,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.78 : 1,568.72 = 743.79 : x
  2. Step 2: Convert to fraction form
    1,136.78/1,568.72 = 743.79/x
  3. Step 3: Cross multiply
    1,136.78x = 1,568.72 × 743.79
  4. Step 4: Simplify right side
    1,136.78x = 1,166,800.11
  5. Step 5: Solve for x
    x = 1,166,800.11/1,136.78
  6. Step 6: Final answer
    x = 1,026.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.