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Finding the Fourth Proportional to 1,138.73, 1,571.50 and 759.96

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Solution

The fourth proportional to 1,138.73, 1,571.50 and 759.96 is: 1,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.73 : 1,571.50 = 759.96 : x
  2. Step 2: Convert to fraction form
    1,138.73/1,571.50 = 759.96/x
  3. Step 3: Cross multiply
    1,138.73x = 1,571.50 × 759.96
  4. Step 4: Simplify right side
    1,138.73x = 1,194,278.09
  5. Step 5: Solve for x
    x = 1,194,278.09/1,138.73
  6. Step 6: Final answer
    x = 1,048.79

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Why These Related Problems?

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