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Finding the Fourth Proportional to 1,138.40, 1,709.40 and 774.80

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Solution

The fourth proportional to 1,138.40, 1,709.40 and 774.80 is: 1,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.40 : 1,709.40 = 774.80 : x
  2. Step 2: Convert to fraction form
    1,138.40/1,709.40 = 774.80/x
  3. Step 3: Cross multiply
    1,138.40x = 1,709.40 × 774.80
  4. Step 4: Simplify right side
    1,138.40x = 1,324,443.12
  5. Step 5: Solve for x
    x = 1,324,443.12/1,138.40
  6. Step 6: Final answer
    x = 1,163.43

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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.