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Finding the Fourth Proportional to 733.90, 1,101.06 and 213.94

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Solution

The fourth proportional to 733.90, 1,101.06 and 213.94 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.90 : 1,101.06 = 213.94 : x
  2. Step 2: Convert to fraction form
    733.90/1,101.06 = 213.94/x
  3. Step 3: Cross multiply
    733.90x = 1,101.06 × 213.94
  4. Step 4: Simplify right side
    733.90x = 235,560.78
  5. Step 5: Solve for x
    x = 235,560.78/733.90
  6. Step 6: Final answer
    x = 320.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.