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Finding the Fourth Proportional to 792.30, 1,093.19 and 456.22

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Solution

The fourth proportional to 792.30, 1,093.19 and 456.22 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.30 : 1,093.19 = 456.22 : x
  2. Step 2: Convert to fraction form
    792.30/1,093.19 = 456.22/x
  3. Step 3: Cross multiply
    792.30x = 1,093.19 × 456.22
  4. Step 4: Simplify right side
    792.30x = 498,735.14
  5. Step 5: Solve for x
    x = 498,735.14/792.30
  6. Step 6: Final answer
    x = 629.48

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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.