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Finding the Fourth Proportional to 793.48, 1,189.80 and 519.72

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Solution

The fourth proportional to 793.48, 1,189.80 and 519.72 is: 779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.48 : 1,189.80 = 519.72 : x
  2. Step 2: Convert to fraction form
    793.48/1,189.80 = 519.72/x
  3. Step 3: Cross multiply
    793.48x = 1,189.80 × 519.72
  4. Step 4: Simplify right side
    793.48x = 618,362.86
  5. Step 5: Solve for x
    x = 618,362.86/793.48
  6. Step 6: Final answer
    x = 779.30

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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.