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Finding the Fourth Proportional to 1,318.86, 1,976.67 and 496.26

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Solution

The fourth proportional to 1,318.86, 1,976.67 and 496.26 is: 743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.86 : 1,976.67 = 496.26 : x
  2. Step 2: Convert to fraction form
    1,318.86/1,976.67 = 496.26/x
  3. Step 3: Cross multiply
    1,318.86x = 1,976.67 × 496.26
  4. Step 4: Simplify right side
    1,318.86x = 980,942.25
  5. Step 5: Solve for x
    x = 980,942.25/1,318.86
  6. Step 6: Final answer
    x = 743.78

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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.