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Finding the Fourth Proportional to 789.67, 1,184.64 and 464.86

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Solution

The fourth proportional to 789.67, 1,184.64 and 464.86 is: 697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.67 : 1,184.64 = 464.86 : x
  2. Step 2: Convert to fraction form
    789.67/1,184.64 = 464.86/x
  3. Step 3: Cross multiply
    789.67x = 1,184.64 × 464.86
  4. Step 4: Simplify right side
    789.67x = 550,691.75
  5. Step 5: Solve for x
    x = 550,691.75/789.67
  6. Step 6: Final answer
    x = 697.37

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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.