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Finding the Fourth Proportional to 793.22, 1,189.96 and 245.39

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Solution

The fourth proportional to 793.22, 1,189.96 and 245.39 is: 368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.22 : 1,189.96 = 245.39 : x
  2. Step 2: Convert to fraction form
    793.22/1,189.96 = 245.39/x
  3. Step 3: Cross multiply
    793.22x = 1,189.96 × 245.39
  4. Step 4: Simplify right side
    793.22x = 292,004.28
  5. Step 5: Solve for x
    x = 292,004.28/793.22
  6. Step 6: Final answer
    x = 368.13

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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.