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Finding the Fourth Proportional to 823.64, 1,233.02 and 548.78

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Solution

The fourth proportional to 823.64, 1,233.02 and 548.78 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.64 : 1,233.02 = 548.78 : x
  2. Step 2: Convert to fraction form
    823.64/1,233.02 = 548.78/x
  3. Step 3: Cross multiply
    823.64x = 1,233.02 × 548.78
  4. Step 4: Simplify right side
    823.64x = 676,656.72
  5. Step 5: Solve for x
    x = 676,656.72/823.64
  6. Step 6: Final answer
    x = 821.54

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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.