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Finding the Fourth Proportional to 792.64, 1,188.98 and 272.63

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Solution

The fourth proportional to 792.64, 1,188.98 and 272.63 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,188.98 = 272.63 : x
  2. Step 2: Convert to fraction form
    792.64/1,188.98 = 272.63/x
  3. Step 3: Cross multiply
    792.64x = 1,188.98 × 272.63
  4. Step 4: Simplify right side
    792.64x = 324,155.40
  5. Step 5: Solve for x
    x = 324,155.40/792.64
  6. Step 6: Final answer
    x = 408.96

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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.