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Finding the Fourth Proportional to 1,267.43, 1,896.50 and 747.67

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Solution

The fourth proportional to 1,267.43, 1,896.50 and 747.67 is: 1,118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.43 : 1,896.50 = 747.67 : x
  2. Step 2: Convert to fraction form
    1,267.43/1,896.50 = 747.67/x
  3. Step 3: Cross multiply
    1,267.43x = 1,896.50 × 747.67
  4. Step 4: Simplify right side
    1,267.43x = 1,417,946.67
  5. Step 5: Solve for x
    x = 1,417,946.67/1,267.43
  6. Step 6: Final answer
    x = 1,118.76

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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.