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Finding the Fourth Proportional to 711.72, 982.80 and 516.24

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Solution

The fourth proportional to 711.72, 982.80 and 516.24 is: 712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 982.80 = 516.24 : x
  2. Step 2: Convert to fraction form
    711.72/982.80 = 516.24/x
  3. Step 3: Cross multiply
    711.72x = 982.80 × 516.24
  4. Step 4: Simplify right side
    711.72x = 507,360.67
  5. Step 5: Solve for x
    x = 507,360.67/711.72
  6. Step 6: Final answer
    x = 712.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.