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Finding the Fourth Proportional to 801.23, 1,105.26 and 552.67

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Solution

The fourth proportional to 801.23, 1,105.26 and 552.67 is: 762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.23 : 1,105.26 = 552.67 : x
  2. Step 2: Convert to fraction form
    801.23/1,105.26 = 552.67/x
  3. Step 3: Cross multiply
    801.23x = 1,105.26 × 552.67
  4. Step 4: Simplify right side
    801.23x = 610,845.94
  5. Step 5: Solve for x
    x = 610,845.94/801.23
  6. Step 6: Final answer
    x = 762.39

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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.