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Finding the Fourth Proportional to 686.81, 947.83 and 376.31

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Solution

The fourth proportional to 686.81, 947.83 and 376.31 is: 519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 947.83 = 376.31 : x
  2. Step 2: Convert to fraction form
    686.81/947.83 = 376.31/x
  3. Step 3: Cross multiply
    686.81x = 947.83 × 376.31
  4. Step 4: Simplify right side
    686.81x = 356,677.91
  5. Step 5: Solve for x
    x = 356,677.91/686.81
  6. Step 6: Final answer
    x = 519.33

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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.