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Finding the Fourth Proportional to 818.04, 1,224.36 and 789.48

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Solution

The fourth proportional to 818.04, 1,224.36 and 789.48 is: 1,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.04 : 1,224.36 = 789.48 : x
  2. Step 2: Convert to fraction form
    818.04/1,224.36 = 789.48/x
  3. Step 3: Cross multiply
    818.04x = 1,224.36 × 789.48
  4. Step 4: Simplify right side
    818.04x = 966,607.73
  5. Step 5: Solve for x
    x = 966,607.73/818.04
  6. Step 6: Final answer
    x = 1,181.61

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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.