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Finding the Fourth Proportional to 720.75, 1,081.13 and 233.84

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Solution

The fourth proportional to 720.75, 1,081.13 and 233.84 is: 350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 1,081.13 = 233.84 : x
  2. Step 2: Convert to fraction form
    720.75/1,081.13 = 233.84/x
  3. Step 3: Cross multiply
    720.75x = 1,081.13 × 233.84
  4. Step 4: Simplify right side
    720.75x = 252,804.86
  5. Step 5: Solve for x
    x = 252,804.86/720.75
  6. Step 6: Final answer
    x = 350.75

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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.