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Finding the Fourth Proportional to 1,276.92, 1,914.84 and 399.19

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Solution

The fourth proportional to 1,276.92, 1,914.84 and 399.19 is: 598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.92 : 1,914.84 = 399.19 : x
  2. Step 2: Convert to fraction form
    1,276.92/1,914.84 = 399.19/x
  3. Step 3: Cross multiply
    1,276.92x = 1,914.84 × 399.19
  4. Step 4: Simplify right side
    1,276.92x = 764,377.65
  5. Step 5: Solve for x
    x = 764,377.65/1,276.92
  6. Step 6: Final answer
    x = 598.61

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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.