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Finding the Fourth Proportional to 822.08, 1,232.31 and 676.28

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Solution

The fourth proportional to 822.08, 1,232.31 and 676.28 is: 1,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.08 : 1,232.31 = 676.28 : x
  2. Step 2: Convert to fraction form
    822.08/1,232.31 = 676.28/x
  3. Step 3: Cross multiply
    822.08x = 1,232.31 × 676.28
  4. Step 4: Simplify right side
    822.08x = 833,392.22
  5. Step 5: Solve for x
    x = 833,392.22/822.08
  6. Step 6: Final answer
    x = 1,013.76

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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.