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Finding the Fourth Proportional to 1,180.77, 1,770.37 and 660.82

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Solution

The fourth proportional to 1,180.77, 1,770.37 and 660.82 is: 990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.77 : 1,770.37 = 660.82 : x
  2. Step 2: Convert to fraction form
    1,180.77/1,770.37 = 660.82/x
  3. Step 3: Cross multiply
    1,180.77x = 1,770.37 × 660.82
  4. Step 4: Simplify right side
    1,180.77x = 1,169,895.90
  5. Step 5: Solve for x
    x = 1,169,895.90/1,180.77
  6. Step 6: Final answer
    x = 990.79

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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.