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Finding the Fourth Proportional to 893.32, 1,232.82 and 520.44

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Solution

The fourth proportional to 893.32, 1,232.82 and 520.44 is: 718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.32 : 1,232.82 = 520.44 : x
  2. Step 2: Convert to fraction form
    893.32/1,232.82 = 520.44/x
  3. Step 3: Cross multiply
    893.32x = 1,232.82 × 520.44
  4. Step 4: Simplify right side
    893.32x = 641,608.84
  5. Step 5: Solve for x
    x = 641,608.84/893.32
  6. Step 6: Final answer
    x = 718.23

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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.