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Finding the Fourth Proportional to 805.14, 1,207.71 and 516.38

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Solution

The fourth proportional to 805.14, 1,207.71 and 516.38 is: 774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.14 : 1,207.71 = 516.38 : x
  2. Step 2: Convert to fraction form
    805.14/1,207.71 = 516.38/x
  3. Step 3: Cross multiply
    805.14x = 1,207.71 × 516.38
  4. Step 4: Simplify right side
    805.14x = 623,631.25
  5. Step 5: Solve for x
    x = 623,631.25/805.14
  6. Step 6: Final answer
    x = 774.56

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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.