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Finding the Fourth Proportional to 792.27, 1,093.12 and 477.46

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Solution

The fourth proportional to 792.27, 1,093.12 and 477.46 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.27 : 1,093.12 = 477.46 : x
  2. Step 2: Convert to fraction form
    792.27/1,093.12 = 477.46/x
  3. Step 3: Cross multiply
    792.27x = 1,093.12 × 477.46
  4. Step 4: Simplify right side
    792.27x = 521,921.08
  5. Step 5: Solve for x
    x = 521,921.08/792.27
  6. Step 6: Final answer
    x = 658.77

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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.