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Finding the Fourth Proportional to 1,263.92, 1,896.12 and 533.12

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Solution

The fourth proportional to 1,263.92, 1,896.12 and 533.12 is: 799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.92 : 1,896.12 = 533.12 : x
  2. Step 2: Convert to fraction form
    1,263.92/1,896.12 = 533.12/x
  3. Step 3: Cross multiply
    1,263.92x = 1,896.12 × 533.12
  4. Step 4: Simplify right side
    1,263.92x = 1,010,859.49
  5. Step 5: Solve for x
    x = 1,010,859.49/1,263.92
  6. Step 6: Final answer
    x = 799.78

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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.