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Finding the Fourth Proportional to 793.24, 1,189.20 and 550.24

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Solution

The fourth proportional to 793.24, 1,189.20 and 550.24 is: 824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.24 : 1,189.20 = 550.24 : x
  2. Step 2: Convert to fraction form
    793.24/1,189.20 = 550.24/x
  3. Step 3: Cross multiply
    793.24x = 1,189.20 × 550.24
  4. Step 4: Simplify right side
    793.24x = 654,345.41
  5. Step 5: Solve for x
    x = 654,345.41/793.24
  6. Step 6: Final answer
    x = 824.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.