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Finding the Fourth Proportional to 893.78, 1,233.22 and 539.76

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Solution

The fourth proportional to 893.78, 1,233.22 and 539.76 is: 744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.78 : 1,233.22 = 539.76 : x
  2. Step 2: Convert to fraction form
    893.78/1,233.22 = 539.76/x
  3. Step 3: Cross multiply
    893.78x = 1,233.22 × 539.76
  4. Step 4: Simplify right side
    893.78x = 665,648.13
  5. Step 5: Solve for x
    x = 665,648.13/893.78
  6. Step 6: Final answer
    x = 744.75

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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.