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Finding the Fourth Proportional to 1,234.26, 1,702.74 and 825.09

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Solution

The fourth proportional to 1,234.26, 1,702.74 and 825.09 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.26 : 1,702.74 = 825.09 : x
  2. Step 2: Convert to fraction form
    1,234.26/1,702.74 = 825.09/x
  3. Step 3: Cross multiply
    1,234.26x = 1,702.74 × 825.09
  4. Step 4: Simplify right side
    1,234.26x = 1,404,913.75
  5. Step 5: Solve for x
    x = 1,404,913.75/1,234.26
  6. Step 6: Final answer
    x = 1,138.26

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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.