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Finding the Fourth Proportional to 792.23, 1,188.07 and 272.14

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Solution

The fourth proportional to 792.23, 1,188.07 and 272.14 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.23 : 1,188.07 = 272.14 : x
  2. Step 2: Convert to fraction form
    792.23/1,188.07 = 272.14/x
  3. Step 3: Cross multiply
    792.23x = 1,188.07 × 272.14
  4. Step 4: Simplify right side
    792.23x = 323,317.72
  5. Step 5: Solve for x
    x = 323,317.72/792.23
  6. Step 6: Final answer
    x = 408.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.