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Finding the Fourth Proportional to 1,414.16, 2,121.78 and 593

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Solution

The fourth proportional to 1,414.16, 2,121.78 and 593 is: 889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.16 : 2,121.78 = 593 : x
  2. Step 2: Convert to fraction form
    1,414.16/2,121.78 = 593/x
  3. Step 3: Cross multiply
    1,414.16x = 2,121.78 × 593
  4. Step 4: Simplify right side
    1,414.16x = 1,258,215.54
  5. Step 5: Solve for x
    x = 1,258,215.54/1,414.16
  6. Step 6: Final answer
    x = 889.73

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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.