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Finding the Fourth Proportional to 893.23, 1,232.64 and 520.33

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Solution

The fourth proportional to 893.23, 1,232.64 and 520.33 is: 718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.23 : 1,232.64 = 520.33 : x
  2. Step 2: Convert to fraction form
    893.23/1,232.64 = 520.33/x
  3. Step 3: Cross multiply
    893.23x = 1,232.64 × 520.33
  4. Step 4: Simplify right side
    893.23x = 641,379.57
  5. Step 5: Solve for x
    x = 641,379.57/893.23
  6. Step 6: Final answer
    x = 718.05

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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.