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Finding the Fourth Proportional to 1,276.28, 1,912.87 and 581.99

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Solution

The fourth proportional to 1,276.28, 1,912.87 and 581.99 is: 872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.28 : 1,912.87 = 581.99 : x
  2. Step 2: Convert to fraction form
    1,276.28/1,912.87 = 581.99/x
  3. Step 3: Cross multiply
    1,276.28x = 1,912.87 × 581.99
  4. Step 4: Simplify right side
    1,276.28x = 1,113,274.54
  5. Step 5: Solve for x
    x = 1,113,274.54/1,276.28
  6. Step 6: Final answer
    x = 872.28

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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.