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Finding the Fourth Proportional to 821.75, 1,232.82 and 244.64

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Solution

The fourth proportional to 821.75, 1,232.82 and 244.64 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,232.82 = 244.64 : x
  2. Step 2: Convert to fraction form
    821.75/1,232.82 = 244.64/x
  3. Step 3: Cross multiply
    821.75x = 1,232.82 × 244.64
  4. Step 4: Simplify right side
    821.75x = 301,597.08
  5. Step 5: Solve for x
    x = 301,597.08/821.75
  6. Step 6: Final answer
    x = 367.02

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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.