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Finding the Fourth Proportional to 789.42, 1,182.90 and 500.25

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Solution

The fourth proportional to 789.42, 1,182.90 and 500.25 is: 749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.42 : 1,182.90 = 500.25 : x
  2. Step 2: Convert to fraction form
    789.42/1,182.90 = 500.25/x
  3. Step 3: Cross multiply
    789.42x = 1,182.90 × 500.25
  4. Step 4: Simplify right side
    789.42x = 591,745.73
  5. Step 5: Solve for x
    x = 591,745.73/789.42
  6. Step 6: Final answer
    x = 749.60

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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.