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Finding the Fourth Proportional to 789.25, 1,182.51 and 480.45

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Solution

The fourth proportional to 789.25, 1,182.51 and 480.45 is: 719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.25 : 1,182.51 = 480.45 : x
  2. Step 2: Convert to fraction form
    789.25/1,182.51 = 480.45/x
  3. Step 3: Cross multiply
    789.25x = 1,182.51 × 480.45
  4. Step 4: Simplify right side
    789.25x = 568,136.93
  5. Step 5: Solve for x
    x = 568,136.93/789.25
  6. Step 6: Final answer
    x = 719.84

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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.