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Finding the Fourth Proportional to 1,362.44, 2,044.14 and 593

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Solution

The fourth proportional to 1,362.44, 2,044.14 and 593 is: 889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.44 : 2,044.14 = 593 : x
  2. Step 2: Convert to fraction form
    1,362.44/2,044.14 = 593/x
  3. Step 3: Cross multiply
    1,362.44x = 2,044.14 × 593
  4. Step 4: Simplify right side
    1,362.44x = 1,212,175.02
  5. Step 5: Solve for x
    x = 1,212,175.02/1,362.44
  6. Step 6: Final answer
    x = 889.71

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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.