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Finding the Fourth Proportional to 789.02, 1,183.56 and 464.14

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Solution

The fourth proportional to 789.02, 1,183.56 and 464.14 is: 696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.02 : 1,183.56 = 464.14 : x
  2. Step 2: Convert to fraction form
    789.02/1,183.56 = 464.14/x
  3. Step 3: Cross multiply
    789.02x = 1,183.56 × 464.14
  4. Step 4: Simplify right side
    789.02x = 549,337.54
  5. Step 5: Solve for x
    x = 549,337.54/789.02
  6. Step 6: Final answer
    x = 696.23

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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.