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Finding the Fourth Proportional to 1,424.48, 2,136.74 and 450.59

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Solution

The fourth proportional to 1,424.48, 2,136.74 and 450.59 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.48 : 2,136.74 = 450.59 : x
  2. Step 2: Convert to fraction form
    1,424.48/2,136.74 = 450.59/x
  3. Step 3: Cross multiply
    1,424.48x = 2,136.74 × 450.59
  4. Step 4: Simplify right side
    1,424.48x = 962,780.74
  5. Step 5: Solve for x
    x = 962,780.74/1,424.48
  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.