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Finding the Fourth Proportional to 720.30, 1,081.26 and 287.76

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Solution

The fourth proportional to 720.30, 1,081.26 and 287.76 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.30 : 1,081.26 = 287.76 : x
  2. Step 2: Convert to fraction form
    720.30/1,081.26 = 287.76/x
  3. Step 3: Cross multiply
    720.30x = 1,081.26 × 287.76
  4. Step 4: Simplify right side
    720.30x = 311,143.38
  5. Step 5: Solve for x
    x = 311,143.38/720.30
  6. Step 6: Final answer
    x = 431.96

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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.