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Finding the Fourth Proportional to 1,276.05, 1,914.09 and 544.80

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Solution

The fourth proportional to 1,276.05, 1,914.09 and 544.80 is: 817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.05 : 1,914.09 = 544.80 : x
  2. Step 2: Convert to fraction form
    1,276.05/1,914.09 = 544.80/x
  3. Step 3: Cross multiply
    1,276.05x = 1,914.09 × 544.80
  4. Step 4: Simplify right side
    1,276.05x = 1,042,796.23
  5. Step 5: Solve for x
    x = 1,042,796.23/1,276.05
  6. Step 6: Final answer
    x = 817.21

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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.