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Finding the Fourth Proportional to 585.94, 874.88 and 516.92

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Solution

The fourth proportional to 585.94, 874.88 and 516.92 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 874.88 = 516.92 : x
  2. Step 2: Convert to fraction form
    585.94/874.88 = 516.92/x
  3. Step 3: Cross multiply
    585.94x = 874.88 × 516.92
  4. Step 4: Simplify right side
    585.94x = 452,242.97
  5. Step 5: Solve for x
    x = 452,242.97/585.94
  6. Step 6: Final answer
    x = 771.82

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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.