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Finding the Fourth Proportional to 822.44, 1,231.64 and 638.30

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Solution

The fourth proportional to 822.44, 1,231.64 and 638.30 is: 955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,231.64 = 638.30 : x
  2. Step 2: Convert to fraction form
    822.44/1,231.64 = 638.30/x
  3. Step 3: Cross multiply
    822.44x = 1,231.64 × 638.30
  4. Step 4: Simplify right side
    822.44x = 786,155.81
  5. Step 5: Solve for x
    x = 786,155.81/822.44
  6. Step 6: Final answer
    x = 955.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.