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Finding the Fourth Proportional to 893.01, 1,232.17 and 519.87

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Solution

The fourth proportional to 893.01, 1,232.17 and 519.87 is: 717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.01 : 1,232.17 = 519.87 : x
  2. Step 2: Convert to fraction form
    893.01/1,232.17 = 519.87/x
  3. Step 3: Cross multiply
    893.01x = 1,232.17 × 519.87
  4. Step 4: Simplify right side
    893.01x = 640,568.22
  5. Step 5: Solve for x
    x = 640,568.22/893.01
  6. Step 6: Final answer
    x = 717.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.