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Finding the Fourth Proportional to 792.45, 1,188.72 and 244.71

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Solution

The fourth proportional to 792.45, 1,188.72 and 244.71 is: 367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.45 : 1,188.72 = 244.71 : x
  2. Step 2: Convert to fraction form
    792.45/1,188.72 = 244.71/x
  3. Step 3: Cross multiply
    792.45x = 1,188.72 × 244.71
  4. Step 4: Simplify right side
    792.45x = 290,891.67
  5. Step 5: Solve for x
    x = 290,891.67/792.45
  6. Step 6: Final answer
    x = 367.08

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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.