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Finding the Fourth Proportional to 793.06, 1,093.71 and 531.43

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Solution

The fourth proportional to 793.06, 1,093.71 and 531.43 is: 732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.06 : 1,093.71 = 531.43 : x
  2. Step 2: Convert to fraction form
    793.06/1,093.71 = 531.43/x
  3. Step 3: Cross multiply
    793.06x = 1,093.71 × 531.43
  4. Step 4: Simplify right side
    793.06x = 581,230.31
  5. Step 5: Solve for x
    x = 581,230.31/793.06
  6. Step 6: Final answer
    x = 732.90

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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.