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Finding the Fourth Proportional to 822.44, 1,235.34 and 676.64

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Solution

The fourth proportional to 822.44, 1,235.34 and 676.64 is: 1,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,235.34 = 676.64 : x
  2. Step 2: Convert to fraction form
    822.44/1,235.34 = 676.64/x
  3. Step 3: Cross multiply
    822.44x = 1,235.34 × 676.64
  4. Step 4: Simplify right side
    822.44x = 835,880.46
  5. Step 5: Solve for x
    x = 835,880.46/822.44
  6. Step 6: Final answer
    x = 1,016.34

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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.