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Finding the Fourth Proportional to 788.92, 1,183.75 and 496.35

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Solution

The fourth proportional to 788.92, 1,183.75 and 496.35 is: 744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.92 : 1,183.75 = 496.35 : x
  2. Step 2: Convert to fraction form
    788.92/1,183.75 = 496.35/x
  3. Step 3: Cross multiply
    788.92x = 1,183.75 × 496.35
  4. Step 4: Simplify right side
    788.92x = 587,553.07
  5. Step 5: Solve for x
    x = 587,553.07/788.92
  6. Step 6: Final answer
    x = 744.76

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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.