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Finding the Fourth Proportional to 1,424.26, 2,135.97 and 499.65

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Solution

The fourth proportional to 1,424.26, 2,135.97 and 499.65 is: 749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.26 : 2,135.97 = 499.65 : x
  2. Step 2: Convert to fraction form
    1,424.26/2,135.97 = 499.65/x
  3. Step 3: Cross multiply
    1,424.26x = 2,135.97 × 499.65
  4. Step 4: Simplify right side
    1,424.26x = 1,067,229.40
  5. Step 5: Solve for x
    x = 1,067,229.40/1,424.26
  6. Step 6: Final answer
    x = 749.32

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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.