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Finding the Fourth Proportional to 793.79, 1,191.03 and 409.31

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Solution

The fourth proportional to 793.79, 1,191.03 and 409.31 is: 614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.79 : 1,191.03 = 409.31 : x
  2. Step 2: Convert to fraction form
    793.79/1,191.03 = 409.31/x
  3. Step 3: Cross multiply
    793.79x = 1,191.03 × 409.31
  4. Step 4: Simplify right side
    793.79x = 487,498.44
  5. Step 5: Solve for x
    x = 487,498.44/793.79
  6. Step 6: Final answer
    x = 614.14

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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.