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Finding the Fourth Proportional to 736.26, 1,104.69 and 674.91

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Solution

The fourth proportional to 736.26, 1,104.69 and 674.91 is: 1,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.26 : 1,104.69 = 674.91 : x
  2. Step 2: Convert to fraction form
    736.26/1,104.69 = 674.91/x
  3. Step 3: Cross multiply
    736.26x = 1,104.69 × 674.91
  4. Step 4: Simplify right side
    736.26x = 745,566.33
  5. Step 5: Solve for x
    x = 745,566.33/736.26
  6. Step 6: Final answer
    x = 1,012.64

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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.