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Finding the Fourth Proportional to 1,267.82, 1,749.43 and 736.56

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Solution

The fourth proportional to 1,267.82, 1,749.43 and 736.56 is: 1,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.82 : 1,749.43 = 736.56 : x
  2. Step 2: Convert to fraction form
    1,267.82/1,749.43 = 736.56/x
  3. Step 3: Cross multiply
    1,267.82x = 1,749.43 × 736.56
  4. Step 4: Simplify right side
    1,267.82x = 1,288,561.08
  5. Step 5: Solve for x
    x = 1,288,561.08/1,267.82
  6. Step 6: Final answer
    x = 1,016.36

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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.