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Finding the Fourth Proportional to 893.45, 1,232.75 and 520.23

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Solution

The fourth proportional to 893.45, 1,232.75 and 520.23 is: 717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.45 : 1,232.75 = 520.23 : x
  2. Step 2: Convert to fraction form
    893.45/1,232.75 = 520.23/x
  3. Step 3: Cross multiply
    893.45x = 1,232.75 × 520.23
  4. Step 4: Simplify right side
    893.45x = 641,310.93
  5. Step 5: Solve for x
    x = 641,310.93/893.45
  6. Step 6: Final answer
    x = 717.80

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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.