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Finding the Fourth Proportional to 1,424.25, 2,136.74 and 398.25

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Solution

The fourth proportional to 1,424.25, 2,136.74 and 398.25 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.25 : 2,136.74 = 398.25 : x
  2. Step 2: Convert to fraction form
    1,424.25/2,136.74 = 398.25/x
  3. Step 3: Cross multiply
    1,424.25x = 2,136.74 × 398.25
  4. Step 4: Simplify right side
    1,424.25x = 850,954.71
  5. Step 5: Solve for x
    x = 850,954.71/1,424.25
  6. Step 6: Final answer
    x = 597.48

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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.