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Finding the Fourth Proportional to 659.98, 985.96 and 426.97

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Solution

The fourth proportional to 659.98, 985.96 and 426.97 is: 637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.98 : 985.96 = 426.97 : x
  2. Step 2: Convert to fraction form
    659.98/985.96 = 426.97/x
  3. Step 3: Cross multiply
    659.98x = 985.96 × 426.97
  4. Step 4: Simplify right side
    659.98x = 420,975.34
  5. Step 5: Solve for x
    x = 420,975.34/659.98
  6. Step 6: Final answer
    x = 637.86

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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.