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Finding the Fourth Proportional to 822.70, 1,233.24 and 676.90

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Solution

The fourth proportional to 822.70, 1,233.24 and 676.90 is: 1,014.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,233.24 = 676.90 : x
  2. Step 2: Convert to fraction form
    822.70/1,233.24 = 676.90/x
  3. Step 3: Cross multiply
    822.70x = 1,233.24 × 676.90
  4. Step 4: Simplify right side
    822.70x = 834,780.16
  5. Step 5: Solve for x
    x = 834,780.16/822.70
  6. Step 6: Final answer
    x = 1,014.68

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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.