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Finding the Fourth Proportional to 1,171.64, 1,757.46 and 294.14

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Solution

The fourth proportional to 1,171.64, 1,757.46 and 294.14 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.64 : 1,757.46 = 294.14 : x
  2. Step 2: Convert to fraction form
    1,171.64/1,757.46 = 294.14/x
  3. Step 3: Cross multiply
    1,171.64x = 1,757.46 × 294.14
  4. Step 4: Simplify right side
    1,171.64x = 516,939.28
  5. Step 5: Solve for x
    x = 516,939.28/1,171.64
  6. Step 6: Final answer
    x = 441.21

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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.