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Finding the Fourth Proportional to 686.80, 947.26 and 476.97

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Solution

The fourth proportional to 686.80, 947.26 and 476.97 is: 657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 947.26 = 476.97 : x
  2. Step 2: Convert to fraction form
    686.80/947.26 = 476.97/x
  3. Step 3: Cross multiply
    686.80x = 947.26 × 476.97
  4. Step 4: Simplify right side
    686.80x = 451,816.97
  5. Step 5: Solve for x
    x = 451,816.97/686.80
  6. Step 6: Final answer
    x = 657.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.