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Finding the Fourth Proportional to 1,260.46, 1,891.34 and 566.99

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Solution

The fourth proportional to 1,260.46, 1,891.34 and 566.99 is: 850.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.46 : 1,891.34 = 566.99 : x
  2. Step 2: Convert to fraction form
    1,260.46/1,891.34 = 566.99/x
  3. Step 3: Cross multiply
    1,260.46x = 1,891.34 × 566.99
  4. Step 4: Simplify right side
    1,260.46x = 1,072,370.87
  5. Step 5: Solve for x
    x = 1,072,370.87/1,260.46
  6. Step 6: Final answer
    x = 850.78

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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.