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Finding the Fourth Proportional to 1,424.35, 2,136.83 and 450.52

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Solution

The fourth proportional to 1,424.35, 2,136.83 and 450.52 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.35 : 2,136.83 = 450.52 : x
  2. Step 2: Convert to fraction form
    1,424.35/2,136.83 = 450.52/x
  3. Step 3: Cross multiply
    1,424.35x = 2,136.83 × 450.52
  4. Step 4: Simplify right side
    1,424.35x = 962,684.65
  5. Step 5: Solve for x
    x = 962,684.65/1,424.35
  6. Step 6: Final answer
    x = 675.88

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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.