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Finding the Fourth Proportional to 1,274.05, 1,911.19 and 396.56

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Solution

The fourth proportional to 1,274.05, 1,911.19 and 396.56 is: 594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.05 : 1,911.19 = 396.56 : x
  2. Step 2: Convert to fraction form
    1,274.05/1,911.19 = 396.56/x
  3. Step 3: Cross multiply
    1,274.05x = 1,911.19 × 396.56
  4. Step 4: Simplify right side
    1,274.05x = 757,901.51
  5. Step 5: Solve for x
    x = 757,901.51/1,274.05
  6. Step 6: Final answer
    x = 594.88

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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.