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Finding the Fourth Proportional to 777.97, 1,163.48 and 691.84

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Solution

The fourth proportional to 777.97, 1,163.48 and 691.84 is: 1,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.97 : 1,163.48 = 691.84 : x
  2. Step 2: Convert to fraction form
    777.97/1,163.48 = 691.84/x
  3. Step 3: Cross multiply
    777.97x = 1,163.48 × 691.84
  4. Step 4: Simplify right side
    777.97x = 804,938.54
  5. Step 5: Solve for x
    x = 804,938.54/777.97
  6. Step 6: Final answer
    x = 1,034.67

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Why These Related Problems?

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