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Finding the Fourth Proportional to 793.22, 1,093.55 and 769.01

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Solution

The fourth proportional to 793.22, 1,093.55 and 769.01 is: 1,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.22 : 1,093.55 = 769.01 : x
  2. Step 2: Convert to fraction form
    793.22/1,093.55 = 769.01/x
  3. Step 3: Cross multiply
    793.22x = 1,093.55 × 769.01
  4. Step 4: Simplify right side
    793.22x = 840,941.57
  5. Step 5: Solve for x
    x = 840,941.57/793.22
  6. Step 6: Final answer
    x = 1,060.17

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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.