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Finding the Fourth Proportional to 792.67, 1,188.44 and 244.55

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Solution

The fourth proportional to 792.67, 1,188.44 and 244.55 is: 366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.67 : 1,188.44 = 244.55 : x
  2. Step 2: Convert to fraction form
    792.67/1,188.44 = 244.55/x
  3. Step 3: Cross multiply
    792.67x = 1,188.44 × 244.55
  4. Step 4: Simplify right side
    792.67x = 290,625.84
  5. Step 5: Solve for x
    x = 290,625.84/792.67
  6. Step 6: Final answer
    x = 366.64

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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.