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Finding the Fourth Proportional to 825.44, 1,238.52 and 610.80

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Solution

The fourth proportional to 825.44, 1,238.52 and 610.80 is: 916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,238.52 = 610.80 : x
  2. Step 2: Convert to fraction form
    825.44/1,238.52 = 610.80/x
  3. Step 3: Cross multiply
    825.44x = 1,238.52 × 610.80
  4. Step 4: Simplify right side
    825.44x = 756,488.02
  5. Step 5: Solve for x
    x = 756,488.02/825.44
  6. Step 6: Final answer
    x = 916.47

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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.