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Finding the Fourth Proportional to 517.88, 777.10 and 516.36

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Solution

The fourth proportional to 517.88, 777.10 and 516.36 is: 774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 777.10 = 516.36 : x
  2. Step 2: Convert to fraction form
    517.88/777.10 = 516.36/x
  3. Step 3: Cross multiply
    517.88x = 777.10 × 516.36
  4. Step 4: Simplify right side
    517.88x = 401,263.36
  5. Step 5: Solve for x
    x = 401,263.36/517.88
  6. Step 6: Final answer
    x = 774.82

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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.