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Finding the Fourth Proportional to 1,483.31, 2,223.75 and 789.55

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Solution

The fourth proportional to 1,483.31, 2,223.75 and 789.55 is: 1,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.31 : 2,223.75 = 789.55 : x
  2. Step 2: Convert to fraction form
    1,483.31/2,223.75 = 789.55/x
  3. Step 3: Cross multiply
    1,483.31x = 2,223.75 × 789.55
  4. Step 4: Simplify right side
    1,483.31x = 1,755,759.21
  5. Step 5: Solve for x
    x = 1,755,759.21/1,483.31
  6. Step 6: Final answer
    x = 1,183.67

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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.