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Finding the Fourth Proportional to 1,318.71, 1,976.43 and 496.29

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Solution

The fourth proportional to 1,318.71, 1,976.43 and 496.29 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.71 : 1,976.43 = 496.29 : x
  2. Step 2: Convert to fraction form
    1,318.71/1,976.43 = 496.29/x
  3. Step 3: Cross multiply
    1,318.71x = 1,976.43 × 496.29
  4. Step 4: Simplify right side
    1,318.71x = 980,882.44
  5. Step 5: Solve for x
    x = 980,882.44/1,318.71
  6. Step 6: Final answer
    x = 743.82

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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.