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Finding the Fourth Proportional to 1,520.48, 2,275.85 and 789.05

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Solution

The fourth proportional to 1,520.48, 2,275.85 and 789.05 is: 1,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.48 : 2,275.85 = 789.05 : x
  2. Step 2: Convert to fraction form
    1,520.48/2,275.85 = 789.05/x
  3. Step 3: Cross multiply
    1,520.48x = 2,275.85 × 789.05
  4. Step 4: Simplify right side
    1,520.48x = 1,795,744.12
  5. Step 5: Solve for x
    x = 1,795,744.12/1,520.48
  6. Step 6: Final answer
    x = 1,181.04

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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.