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Finding the Fourth Proportional to 720.80, 1,081.46 and 516.99

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Solution

The fourth proportional to 720.80, 1,081.46 and 516.99 is: 775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.80 : 1,081.46 = 516.99 : x
  2. Step 2: Convert to fraction form
    720.80/1,081.46 = 516.99/x
  3. Step 3: Cross multiply
    720.80x = 1,081.46 × 516.99
  4. Step 4: Simplify right side
    720.80x = 559,105.30
  5. Step 5: Solve for x
    x = 559,105.30/720.80
  6. Step 6: Final answer
    x = 775.68

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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.