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Finding the Fourth Proportional to 788.96, 1,183.16 and 233.51

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Solution

The fourth proportional to 788.96, 1,183.16 and 233.51 is: 350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.96 : 1,183.16 = 233.51 : x
  2. Step 2: Convert to fraction form
    788.96/1,183.16 = 233.51/x
  3. Step 3: Cross multiply
    788.96x = 1,183.16 × 233.51
  4. Step 4: Simplify right side
    788.96x = 276,274.36
  5. Step 5: Solve for x
    x = 276,274.36/788.96
  6. Step 6: Final answer
    x = 350.17

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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.