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Finding the Fourth Proportional to 825.09, 1,236.79 and 277.09

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Solution

The fourth proportional to 825.09, 1,236.79 and 277.09 is: 415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.09 : 1,236.79 = 277.09 : x
  2. Step 2: Convert to fraction form
    825.09/1,236.79 = 277.09/x
  3. Step 3: Cross multiply
    825.09x = 1,236.79 × 277.09
  4. Step 4: Simplify right side
    825.09x = 342,702.99
  5. Step 5: Solve for x
    x = 342,702.99/825.09
  6. Step 6: Final answer
    x = 415.35

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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.