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Finding the Fourth Proportional to 1,222.95, 1,833.48 and 789.21

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Solution

The fourth proportional to 1,222.95, 1,833.48 and 789.21 is: 1,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.95 : 1,833.48 = 789.21 : x
  2. Step 2: Convert to fraction form
    1,222.95/1,833.48 = 789.21/x
  3. Step 3: Cross multiply
    1,222.95x = 1,833.48 × 789.21
  4. Step 4: Simplify right side
    1,222.95x = 1,447,000.75
  5. Step 5: Solve for x
    x = 1,447,000.75/1,222.95
  6. Step 6: Final answer
    x = 1,183.21

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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.