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Finding the Fourth Proportional to 1,180.81, 1,769.70 and 487.96

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Solution

The fourth proportional to 1,180.81, 1,769.70 and 487.96 is: 731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.81 : 1,769.70 = 487.96 : x
  2. Step 2: Convert to fraction form
    1,180.81/1,769.70 = 487.96/x
  3. Step 3: Cross multiply
    1,180.81x = 1,769.70 × 487.96
  4. Step 4: Simplify right side
    1,180.81x = 863,546.05
  5. Step 5: Solve for x
    x = 863,546.05/1,180.81
  6. Step 6: Final answer
    x = 731.32

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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.