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Finding the Fourth Proportional to 1,265.76, 1,896.12 and 1,175.76

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Solution

The fourth proportional to 1,265.76, 1,896.12 and 1,175.76 is: 1,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,896.12 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,896.12 = 1,175.76/x
  3. Step 3: Cross multiply
    1,265.76x = 1,896.12 × 1,175.76
  4. Step 4: Simplify right side
    1,265.76x = 2,229,382.05
  5. Step 5: Solve for x
    x = 2,229,382.05/1,265.76
  6. Step 6: Final answer
    x = 1,761.30

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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.