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Finding the Fourth Proportional to 1,409.40, 2,112.89 and 759.38

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Solution

The fourth proportional to 1,409.40, 2,112.89 and 759.38 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.40 : 2,112.89 = 759.38 : x
  2. Step 2: Convert to fraction form
    1,409.40/2,112.89 = 759.38/x
  3. Step 3: Cross multiply
    1,409.40x = 2,112.89 × 759.38
  4. Step 4: Simplify right side
    1,409.40x = 1,604,472.05
  5. Step 5: Solve for x
    x = 1,604,472.05/1,409.40
  6. Step 6: Final answer
    x = 1,138.41

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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.