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Finding the Fourth Proportional to 893.08, 1,232.04 and 543.97

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Solution

The fourth proportional to 893.08, 1,232.04 and 543.97 is: 750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.08 : 1,232.04 = 543.97 : x
  2. Step 2: Convert to fraction form
    893.08/1,232.04 = 543.97/x
  3. Step 3: Cross multiply
    893.08x = 1,232.04 × 543.97
  4. Step 4: Simplify right side
    893.08x = 670,192.80
  5. Step 5: Solve for x
    x = 670,192.80/893.08
  6. Step 6: Final answer
    x = 750.43

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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.