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Finding the Fourth Proportional to 757.43, 1,136.01 and 209.48

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Solution

The fourth proportional to 757.43, 1,136.01 and 209.48 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.43 : 1,136.01 = 209.48 : x
  2. Step 2: Convert to fraction form
    757.43/1,136.01 = 209.48/x
  3. Step 3: Cross multiply
    757.43x = 1,136.01 × 209.48
  4. Step 4: Simplify right side
    757.43x = 237,971.37
  5. Step 5: Solve for x
    x = 237,971.37/757.43
  6. Step 6: Final answer
    x = 314.18

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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.