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Finding the Fourth Proportional to 720.83, 1,081.35 and 233.72

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Solution

The fourth proportional to 720.83, 1,081.35 and 233.72 is: 350.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.83 : 1,081.35 = 233.72 : x
  2. Step 2: Convert to fraction form
    720.83/1,081.35 = 233.72/x
  3. Step 3: Cross multiply
    720.83x = 1,081.35 × 233.72
  4. Step 4: Simplify right side
    720.83x = 252,727.72
  5. Step 5: Solve for x
    x = 252,727.72/720.83
  6. Step 6: Final answer
    x = 350.61

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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.