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Finding the Fourth Proportional to 793.08, 1,188.68 and 330.76

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Solution

The fourth proportional to 793.08, 1,188.68 and 330.76 is: 495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.08 : 1,188.68 = 330.76 : x
  2. Step 2: Convert to fraction form
    793.08/1,188.68 = 330.76/x
  3. Step 3: Cross multiply
    793.08x = 1,188.68 × 330.76
  4. Step 4: Simplify right side
    793.08x = 393,167.80
  5. Step 5: Solve for x
    x = 393,167.80/793.08
  6. Step 6: Final answer
    x = 495.75

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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.