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Finding the Fourth Proportional to 792.24, 1,187.56 and 518.88

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Solution

The fourth proportional to 792.24, 1,187.56 and 518.88 is: 777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.24 : 1,187.56 = 518.88 : x
  2. Step 2: Convert to fraction form
    792.24/1,187.56 = 518.88/x
  3. Step 3: Cross multiply
    792.24x = 1,187.56 × 518.88
  4. Step 4: Simplify right side
    792.24x = 616,201.13
  5. Step 5: Solve for x
    x = 616,201.13/792.24
  6. Step 6: Final answer
    x = 777.80

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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.