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Finding the Fourth Proportional to 3,264.52, 4,896.75 and 799.32

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Solution

The fourth proportional to 3,264.52, 4,896.75 and 799.32 is: 1,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.52 : 4,896.75 = 799.32 : x
  2. Step 2: Convert to fraction form
    3,264.52/4,896.75 = 799.32/x
  3. Step 3: Cross multiply
    3,264.52x = 4,896.75 × 799.32
  4. Step 4: Simplify right side
    3,264.52x = 3,914,070.21
  5. Step 5: Solve for x
    x = 3,914,070.21/3,264.52
  6. Step 6: Final answer
    x = 1,198.97

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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.