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Finding the Fourth Proportional to 789.72, 1,183.38 and 500.28

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Solution

The fourth proportional to 789.72, 1,183.38 and 500.28 is: 749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.72 : 1,183.38 = 500.28 : x
  2. Step 2: Convert to fraction form
    789.72/1,183.38 = 500.28/x
  3. Step 3: Cross multiply
    789.72x = 1,183.38 × 500.28
  4. Step 4: Simplify right side
    789.72x = 592,021.35
  5. Step 5: Solve for x
    x = 592,021.35/789.72
  6. Step 6: Final answer
    x = 749.66

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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.