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Finding the Fourth Proportional to 730.26, 1,008.12 and 495.44

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Solution

The fourth proportional to 730.26, 1,008.12 and 495.44 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.26 : 1,008.12 = 495.44 : x
  2. Step 2: Convert to fraction form
    730.26/1,008.12 = 495.44/x
  3. Step 3: Cross multiply
    730.26x = 1,008.12 × 495.44
  4. Step 4: Simplify right side
    730.26x = 499,462.97
  5. Step 5: Solve for x
    x = 499,462.97/730.26
  6. Step 6: Final answer
    x = 683.95

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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.