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Finding the Fourth Proportional to 832.26, 1,149.78 and 733.44

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Solution

The fourth proportional to 832.26, 1,149.78 and 733.44 is: 1,013.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.26 : 1,149.78 = 733.44 : x
  2. Step 2: Convert to fraction form
    832.26/1,149.78 = 733.44/x
  3. Step 3: Cross multiply
    832.26x = 1,149.78 × 733.44
  4. Step 4: Simplify right side
    832.26x = 843,294.64
  5. Step 5: Solve for x
    x = 843,294.64/832.26
  6. Step 6: Final answer
    x = 1,013.26

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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.