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Finding the Fourth Proportional to 707.72, 1,062.48 and 516.56

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Solution

The fourth proportional to 707.72, 1,062.48 and 516.56 is: 775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.72 : 1,062.48 = 516.56 : x
  2. Step 2: Convert to fraction form
    707.72/1,062.48 = 516.56/x
  3. Step 3: Cross multiply
    707.72x = 1,062.48 × 516.56
  4. Step 4: Simplify right side
    707.72x = 548,834.67
  5. Step 5: Solve for x
    x = 548,834.67/707.72
  6. Step 6: Final answer
    x = 775.50

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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.