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Finding the Fourth Proportional to 1,763.65, 2,645.81 and 789.75

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Solution

The fourth proportional to 1,763.65, 2,645.81 and 789.75 is: 1,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.65 : 2,645.81 = 789.75 : x
  2. Step 2: Convert to fraction form
    1,763.65/2,645.81 = 789.75/x
  3. Step 3: Cross multiply
    1,763.65x = 2,645.81 × 789.75
  4. Step 4: Simplify right side
    1,763.65x = 2,089,531.90
  5. Step 5: Solve for x
    x = 2,089,531.90/1,763.65
  6. Step 6: Final answer
    x = 1,184.78

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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.