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Finding the Fourth Proportional to 585.73, 874.31 and 516.54

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Solution

The fourth proportional to 585.73, 874.31 and 516.54 is: 771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.73 : 874.31 = 516.54 : x
  2. Step 2: Convert to fraction form
    585.73/874.31 = 516.54/x
  3. Step 3: Cross multiply
    585.73x = 874.31 × 516.54
  4. Step 4: Simplify right side
    585.73x = 451,609.13
  5. Step 5: Solve for x
    x = 451,609.13/585.73
  6. Step 6: Final answer
    x = 771.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.