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Finding the Fourth Proportional to 1,216.73, 1,679.46 and 823.75

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Solution

The fourth proportional to 1,216.73, 1,679.46 and 823.75 is: 1,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.73 : 1,679.46 = 823.75 : x
  2. Step 2: Convert to fraction form
    1,216.73/1,679.46 = 823.75/x
  3. Step 3: Cross multiply
    1,216.73x = 1,679.46 × 823.75
  4. Step 4: Simplify right side
    1,216.73x = 1,383,455.18
  5. Step 5: Solve for x
    x = 1,383,455.18/1,216.73
  6. Step 6: Final answer
    x = 1,137.03

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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.