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Finding the Fourth Proportional to 1,499.82, 2,251.17 and 730.86

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Solution

The fourth proportional to 1,499.82, 2,251.17 and 730.86 is: 1,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.82 : 2,251.17 = 730.86 : x
  2. Step 2: Convert to fraction form
    1,499.82/2,251.17 = 730.86/x
  3. Step 3: Cross multiply
    1,499.82x = 2,251.17 × 730.86
  4. Step 4: Simplify right side
    1,499.82x = 1,645,290.11
  5. Step 5: Solve for x
    x = 1,645,290.11/1,499.82
  6. Step 6: Final answer
    x = 1,096.99

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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.