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Finding the Fourth Proportional to 1,448.41, 2,170.51 and 789.73

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Solution

The fourth proportional to 1,448.41, 2,170.51 and 789.73 is: 1,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.41 : 2,170.51 = 789.73 : x
  2. Step 2: Convert to fraction form
    1,448.41/2,170.51 = 789.73/x
  3. Step 3: Cross multiply
    1,448.41x = 2,170.51 × 789.73
  4. Step 4: Simplify right side
    1,448.41x = 1,714,116.86
  5. Step 5: Solve for x
    x = 1,714,116.86/1,448.41
  6. Step 6: Final answer
    x = 1,183.45

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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.