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Finding the Fourth Proportional to 771.89, 1,072.35 and 764.68

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Solution

The fourth proportional to 771.89, 1,072.35 and 764.68 is: 1,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.89 : 1,072.35 = 764.68 : x
  2. Step 2: Convert to fraction form
    771.89/1,072.35 = 764.68/x
  3. Step 3: Cross multiply
    771.89x = 1,072.35 × 764.68
  4. Step 4: Simplify right side
    771.89x = 820,004.60
  5. Step 5: Solve for x
    x = 820,004.60/771.89
  6. Step 6: Final answer
    x = 1,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.