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Finding the Fourth Proportional to 1,243.08, 1,716.80 and 966.64

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Solution

The fourth proportional to 1,243.08, 1,716.80 and 966.64 is: 1,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.08 : 1,716.80 = 966.64 : x
  2. Step 2: Convert to fraction form
    1,243.08/1,716.80 = 966.64/x
  3. Step 3: Cross multiply
    1,243.08x = 1,716.80 × 966.64
  4. Step 4: Simplify right side
    1,243.08x = 1,659,527.55
  5. Step 5: Solve for x
    x = 1,659,527.55/1,243.08
  6. Step 6: Final answer
    x = 1,335.01

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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.