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Finding the Fourth Proportional to 563.72, 844.14 and 516.20

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Solution

The fourth proportional to 563.72, 844.14 and 516.20 is: 772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 844.14 = 516.20 : x
  2. Step 2: Convert to fraction form
    563.72/844.14 = 516.20/x
  3. Step 3: Cross multiply
    563.72x = 844.14 × 516.20
  4. Step 4: Simplify right side
    563.72x = 435,745.07
  5. Step 5: Solve for x
    x = 435,745.07/563.72
  6. Step 6: Final answer
    x = 772.98

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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.