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Finding the Fourth Proportional to 521.67, 777.23 and 516.54

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Solution

The fourth proportional to 521.67, 777.23 and 516.54 is: 769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 777.23 = 516.54 : x
  2. Step 2: Convert to fraction form
    521.67/777.23 = 516.54/x
  3. Step 3: Cross multiply
    521.67x = 777.23 × 516.54
  4. Step 4: Simplify right side
    521.67x = 401,472.65
  5. Step 5: Solve for x
    x = 401,472.65/521.67
  6. Step 6: Final answer
    x = 769.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.