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Finding the Fourth Proportional to 1,480.32, 2,220.70 and 786.81

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Solution

The fourth proportional to 1,480.32, 2,220.70 and 786.81 is: 1,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.32 : 2,220.70 = 786.81 : x
  2. Step 2: Convert to fraction form
    1,480.32/2,220.70 = 786.81/x
  3. Step 3: Cross multiply
    1,480.32x = 2,220.70 × 786.81
  4. Step 4: Simplify right side
    1,480.32x = 1,747,268.97
  5. Step 5: Solve for x
    x = 1,747,268.97/1,480.32
  6. Step 6: Final answer
    x = 1,180.33

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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.