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Finding the Fourth Proportional to 1,187.73, 1,639.17 and 966.06

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Solution

The fourth proportional to 1,187.73, 1,639.17 and 966.06 is: 1,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.73 : 1,639.17 = 966.06 : x
  2. Step 2: Convert to fraction form
    1,187.73/1,639.17 = 966.06/x
  3. Step 3: Cross multiply
    1,187.73x = 1,639.17 × 966.06
  4. Step 4: Simplify right side
    1,187.73x = 1,583,536.57
  5. Step 5: Solve for x
    x = 1,583,536.57/1,187.73
  6. Step 6: Final answer
    x = 1,333.25

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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.