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Finding the Fourth Proportional to 1,318.06, 1,817.67 and 986.14

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Solution

The fourth proportional to 1,318.06, 1,817.67 and 986.14 is: 1,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.06 : 1,817.67 = 986.14 : x
  2. Step 2: Convert to fraction form
    1,318.06/1,817.67 = 986.14/x
  3. Step 3: Cross multiply
    1,318.06x = 1,817.67 × 986.14
  4. Step 4: Simplify right side
    1,318.06x = 1,792,477.09
  5. Step 5: Solve for x
    x = 1,792,477.09/1,318.06
  6. Step 6: Final answer
    x = 1,359.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.