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Finding the Fourth Proportional to 793.60, 1,188.36 and 518.88

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Solution

The fourth proportional to 793.60, 1,188.36 and 518.88 is: 776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.60 : 1,188.36 = 518.88 : x
  2. Step 2: Convert to fraction form
    793.60/1,188.36 = 518.88/x
  3. Step 3: Cross multiply
    793.60x = 1,188.36 × 518.88
  4. Step 4: Simplify right side
    793.60x = 616,616.24
  5. Step 5: Solve for x
    x = 616,616.24/793.60
  6. Step 6: Final answer
    x = 776.99

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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.