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Finding the Fourth Proportional to 1,216.98, 1,676.82 and 823.32

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Solution

The fourth proportional to 1,216.98, 1,676.82 and 823.32 is: 1,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,676.82 = 823.32 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,676.82 = 823.32/x
  3. Step 3: Cross multiply
    1,216.98x = 1,676.82 × 823.32
  4. Step 4: Simplify right side
    1,216.98x = 1,380,559.44
  5. Step 5: Solve for x
    x = 1,380,559.44/1,216.98
  6. Step 6: Final answer
    x = 1,134.41

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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.