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Finding the Fourth Proportional to 1,236.28, 1,853.34 and 825.21

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Solution

The fourth proportional to 1,236.28, 1,853.34 and 825.21 is: 1,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.28 : 1,853.34 = 825.21 : x
  2. Step 2: Convert to fraction form
    1,236.28/1,853.34 = 825.21/x
  3. Step 3: Cross multiply
    1,236.28x = 1,853.34 × 825.21
  4. Step 4: Simplify right side
    1,236.28x = 1,529,385.43
  5. Step 5: Solve for x
    x = 1,529,385.43/1,236.28
  6. Step 6: Final answer
    x = 1,237.09

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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.