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Finding the Fourth Proportional to 1,265.66, 1,896.97 and 827.12

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Solution

The fourth proportional to 1,265.66, 1,896.97 and 827.12 is: 1,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.66 : 1,896.97 = 827.12 : x
  2. Step 2: Convert to fraction form
    1,265.66/1,896.97 = 827.12/x
  3. Step 3: Cross multiply
    1,265.66x = 1,896.97 × 827.12
  4. Step 4: Simplify right side
    1,265.66x = 1,569,024.50
  5. Step 5: Solve for x
    x = 1,569,024.50/1,265.66
  6. Step 6: Final answer
    x = 1,239.69

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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.