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Finding the Fourth Proportional to 792.91, 1,094.22 and 443.59

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Solution

The fourth proportional to 792.91, 1,094.22 and 443.59 is: 612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.91 : 1,094.22 = 443.59 : x
  2. Step 2: Convert to fraction form
    792.91/1,094.22 = 443.59/x
  3. Step 3: Cross multiply
    792.91x = 1,094.22 × 443.59
  4. Step 4: Simplify right side
    792.91x = 485,385.05
  5. Step 5: Solve for x
    x = 485,385.05/792.91
  6. Step 6: Final answer
    x = 612.16

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