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Finding the Fourth Proportional to 920.40, 1,380.57 and 757.59

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Solution

The fourth proportional to 920.40, 1,380.57 and 757.59 is: 1,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.40 : 1,380.57 = 757.59 : x
  2. Step 2: Convert to fraction form
    920.40/1,380.57 = 757.59/x
  3. Step 3: Cross multiply
    920.40x = 1,380.57 × 757.59
  4. Step 4: Simplify right side
    920.40x = 1,045,906.03
  5. Step 5: Solve for x
    x = 1,045,906.03/920.40
  6. Step 6: Final answer
    x = 1,136.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.