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Finding the Fourth Proportional to 1,318.70, 1,976.82 and 660.17

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Solution

The fourth proportional to 1,318.70, 1,976.82 and 660.17 is: 989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.70 : 1,976.82 = 660.17 : x
  2. Step 2: Convert to fraction form
    1,318.70/1,976.82 = 660.17/x
  3. Step 3: Cross multiply
    1,318.70x = 1,976.82 × 660.17
  4. Step 4: Simplify right side
    1,318.70x = 1,305,037.26
  5. Step 5: Solve for x
    x = 1,305,037.26/1,318.70
  6. Step 6: Final answer
    x = 989.64

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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.