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Finding the Fourth Proportional to 757.81, 1,136.49 and 295.48

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Solution

The fourth proportional to 757.81, 1,136.49 and 295.48 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.81 : 1,136.49 = 295.48 : x
  2. Step 2: Convert to fraction form
    757.81/1,136.49 = 295.48/x
  3. Step 3: Cross multiply
    757.81x = 1,136.49 × 295.48
  4. Step 4: Simplify right side
    757.81x = 335,811.49
  5. Step 5: Solve for x
    x = 335,811.49/757.81
  6. Step 6: Final answer
    x = 443.14

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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.