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Finding the Fourth Proportional to 1,276.21, 1,913.90 and 496.16

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Solution

The fourth proportional to 1,276.21, 1,913.90 and 496.16 is: 744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.21 : 1,913.90 = 496.16 : x
  2. Step 2: Convert to fraction form
    1,276.21/1,913.90 = 496.16/x
  3. Step 3: Cross multiply
    1,276.21x = 1,913.90 × 496.16
  4. Step 4: Simplify right side
    1,276.21x = 949,591.05
  5. Step 5: Solve for x
    x = 949,591.05/1,276.21
  6. Step 6: Final answer
    x = 744.07

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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.