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Finding the Fourth Proportional to 1,265.64, 1,896.42 and 832

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Solution

The fourth proportional to 1,265.64, 1,896.42 and 832 is: 1,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.64 : 1,896.42 = 832 : x
  2. Step 2: Convert to fraction form
    1,265.64/1,896.42 = 832/x
  3. Step 3: Cross multiply
    1,265.64x = 1,896.42 × 832
  4. Step 4: Simplify right side
    1,265.64x = 1,577,821.44
  5. Step 5: Solve for x
    x = 1,577,821.44/1,265.64
  6. Step 6: Final answer
    x = 1,246.66

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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.