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Finding the Fourth Proportional to 736.82, 1,104.11 and 667.36

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Solution

The fourth proportional to 736.82, 1,104.11 and 667.36 is: 1,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.82 : 1,104.11 = 667.36 : x
  2. Step 2: Convert to fraction form
    736.82/1,104.11 = 667.36/x
  3. Step 3: Cross multiply
    736.82x = 1,104.11 × 667.36
  4. Step 4: Simplify right side
    736.82x = 736,838.85
  5. Step 5: Solve for x
    x = 736,838.85/736.82
  6. Step 6: Final answer
    x = 1,000.03

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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.