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Finding the Fourth Proportional to 789.08, 1,183.68 and 586.16

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Solution

The fourth proportional to 789.08, 1,183.68 and 586.16 is: 879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.08 : 1,183.68 = 586.16 : x
  2. Step 2: Convert to fraction form
    789.08/1,183.68 = 586.16/x
  3. Step 3: Cross multiply
    789.08x = 1,183.68 × 586.16
  4. Step 4: Simplify right side
    789.08x = 693,825.87
  5. Step 5: Solve for x
    x = 693,825.87/789.08
  6. Step 6: Final answer
    x = 879.28

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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.