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Finding the Fourth Proportional to 1,267.46, 1,896.56 and 747.71

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Solution

The fourth proportional to 1,267.46, 1,896.56 and 747.71 is: 1,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.46 : 1,896.56 = 747.71 : x
  2. Step 2: Convert to fraction form
    1,267.46/1,896.56 = 747.71/x
  3. Step 3: Cross multiply
    1,267.46x = 1,896.56 × 747.71
  4. Step 4: Simplify right side
    1,267.46x = 1,418,069.29
  5. Step 5: Solve for x
    x = 1,418,069.29/1,267.46
  6. Step 6: Final answer
    x = 1,118.83

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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.