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Finding the Fourth Proportional to 866.22, 1,193.97 and 533.91

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Solution

The fourth proportional to 866.22, 1,193.97 and 533.91 is: 735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.22 : 1,193.97 = 533.91 : x
  2. Step 2: Convert to fraction form
    866.22/1,193.97 = 533.91/x
  3. Step 3: Cross multiply
    866.22x = 1,193.97 × 533.91
  4. Step 4: Simplify right side
    866.22x = 637,472.52
  5. Step 5: Solve for x
    x = 637,472.52/866.22
  6. Step 6: Final answer
    x = 735.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.