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Finding the Fourth Proportional to 789.72, 1,182.96 and 480.84

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Solution

The fourth proportional to 789.72, 1,182.96 and 480.84 is: 720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.72 : 1,182.96 = 480.84 : x
  2. Step 2: Convert to fraction form
    789.72/1,182.96 = 480.84/x
  3. Step 3: Cross multiply
    789.72x = 1,182.96 × 480.84
  4. Step 4: Simplify right side
    789.72x = 568,814.49
  5. Step 5: Solve for x
    x = 568,814.49/789.72
  6. Step 6: Final answer
    x = 720.27

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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.