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Finding the Fourth Proportional to 792.78, 1,189.17 and 769.02

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Solution

The fourth proportional to 792.78, 1,189.17 and 769.02 is: 1,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.78 : 1,189.17 = 769.02 : x
  2. Step 2: Convert to fraction form
    792.78/1,189.17 = 769.02/x
  3. Step 3: Cross multiply
    792.78x = 1,189.17 × 769.02
  4. Step 4: Simplify right side
    792.78x = 914,495.51
  5. Step 5: Solve for x
    x = 914,495.51/792.78
  6. Step 6: Final answer
    x = 1,153.53

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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.