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Finding the Fourth Proportional to 793.75, 1,190.63 and 216.63

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Solution

The fourth proportional to 793.75, 1,190.63 and 216.63 is: 324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.75 : 1,190.63 = 216.63 : x
  2. Step 2: Convert to fraction form
    793.75/1,190.63 = 216.63/x
  3. Step 3: Cross multiply
    793.75x = 1,190.63 × 216.63
  4. Step 4: Simplify right side
    793.75x = 257,926.18
  5. Step 5: Solve for x
    x = 257,926.18/793.75
  6. Step 6: Final answer
    x = 324.95

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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.