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Finding the Fourth Proportional to 1,260.56, 1,891.85 and 914.06

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Solution

The fourth proportional to 1,260.56, 1,891.85 and 914.06 is: 1,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.56 : 1,891.85 = 914.06 : x
  2. Step 2: Convert to fraction form
    1,260.56/1,891.85 = 914.06/x
  3. Step 3: Cross multiply
    1,260.56x = 1,891.85 × 914.06
  4. Step 4: Simplify right side
    1,260.56x = 1,729,250.38
  5. Step 5: Solve for x
    x = 1,729,250.38/1,260.56
  6. Step 6: Final answer
    x = 1,371.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.