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Finding the Fourth Proportional to 1,227.58, 1,844.32 and 789.67

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Solution

The fourth proportional to 1,227.58, 1,844.32 and 789.67 is: 1,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.58 : 1,844.32 = 789.67 : x
  2. Step 2: Convert to fraction form
    1,227.58/1,844.32 = 789.67/x
  3. Step 3: Cross multiply
    1,227.58x = 1,844.32 × 789.67
  4. Step 4: Simplify right side
    1,227.58x = 1,456,404.17
  5. Step 5: Solve for x
    x = 1,456,404.17/1,227.58
  6. Step 6: Final answer
    x = 1,186.40

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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.