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Finding the Fourth Proportional to 1,424.49, 2,136.98 and 450.36

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Solution

The fourth proportional to 1,424.49, 2,136.98 and 450.36 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.49 : 2,136.98 = 450.36 : x
  2. Step 2: Convert to fraction form
    1,424.49/2,136.98 = 450.36/x
  3. Step 3: Cross multiply
    1,424.49x = 2,136.98 × 450.36
  4. Step 4: Simplify right side
    1,424.49x = 962,411.44
  5. Step 5: Solve for x
    x = 962,411.44/1,424.49
  6. Step 6: Final answer
    x = 675.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.