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Finding the Fourth Proportional to 893.56, 1,233.17 and 520.56

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Solution

The fourth proportional to 893.56, 1,233.17 and 520.56 is: 718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.56 : 1,233.17 = 520.56 : x
  2. Step 2: Convert to fraction form
    893.56/1,233.17 = 520.56/x
  3. Step 3: Cross multiply
    893.56x = 1,233.17 × 520.56
  4. Step 4: Simplify right side
    893.56x = 641,938.98
  5. Step 5: Solve for x
    x = 641,938.98/893.56
  6. Step 6: Final answer
    x = 718.41

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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.