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Finding the Fourth Proportional to 792.36, 1,093.50 and 443.08

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Solution

The fourth proportional to 792.36, 1,093.50 and 443.08 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.36 : 1,093.50 = 443.08 : x
  2. Step 2: Convert to fraction form
    792.36/1,093.50 = 443.08/x
  3. Step 3: Cross multiply
    792.36x = 1,093.50 × 443.08
  4. Step 4: Simplify right side
    792.36x = 484,507.98
  5. Step 5: Solve for x
    x = 484,507.98/792.36
  6. Step 6: Final answer
    x = 611.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.