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Finding the Fourth Proportional to 1,499.31, 2,249.28 and 512.04

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Solution

The fourth proportional to 1,499.31, 2,249.28 and 512.04 is: 768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.31 : 2,249.28 = 512.04 : x
  2. Step 2: Convert to fraction form
    1,499.31/2,249.28 = 512.04/x
  3. Step 3: Cross multiply
    1,499.31x = 2,249.28 × 512.04
  4. Step 4: Simplify right side
    1,499.31x = 1,151,727.85
  5. Step 5: Solve for x
    x = 1,151,727.85/1,499.31
  6. Step 6: Final answer
    x = 768.17

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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.