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Finding the Fourth Proportional to 789.16, 1,183.34 and 460.20

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Solution

The fourth proportional to 789.16, 1,183.34 and 460.20 is: 690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.16 : 1,183.34 = 460.20 : x
  2. Step 2: Convert to fraction form
    789.16/1,183.34 = 460.20/x
  3. Step 3: Cross multiply
    789.16x = 1,183.34 × 460.20
  4. Step 4: Simplify right side
    789.16x = 544,578.66
  5. Step 5: Solve for x
    x = 544,578.66/789.16
  6. Step 6: Final answer
    x = 690.07

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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.