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Finding the Fourth Proportional to 720.33, 1,081.38 and 566.76

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Solution

The fourth proportional to 720.33, 1,081.38 and 566.76 is: 850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.33 : 1,081.38 = 566.76 : x
  2. Step 2: Convert to fraction form
    720.33/1,081.38 = 566.76/x
  3. Step 3: Cross multiply
    720.33x = 1,081.38 × 566.76
  4. Step 4: Simplify right side
    720.33x = 612,882.93
  5. Step 5: Solve for x
    x = 612,882.93/720.33
  6. Step 6: Final answer
    x = 850.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.