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Finding the Fourth Proportional to 1,318.84, 1,976.90 and 496.60

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Solution

The fourth proportional to 1,318.84, 1,976.90 and 496.60 is: 744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.84 : 1,976.90 = 496.60 : x
  2. Step 2: Convert to fraction form
    1,318.84/1,976.90 = 496.60/x
  3. Step 3: Cross multiply
    1,318.84x = 1,976.90 × 496.60
  4. Step 4: Simplify right side
    1,318.84x = 981,728.54
  5. Step 5: Solve for x
    x = 981,728.54/1,318.84
  6. Step 6: Final answer
    x = 744.39

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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.