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Finding the Fourth Proportional to 1,267.79, 1,896.89 and 748.07

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Solution

The fourth proportional to 1,267.79, 1,896.89 and 748.07 is: 1,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.79 : 1,896.89 = 748.07 : x
  2. Step 2: Convert to fraction form
    1,267.79/1,896.89 = 748.07/x
  3. Step 3: Cross multiply
    1,267.79x = 1,896.89 × 748.07
  4. Step 4: Simplify right side
    1,267.79x = 1,419,006.70
  5. Step 5: Solve for x
    x = 1,419,006.70/1,267.79
  6. Step 6: Final answer
    x = 1,119.28

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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.