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Finding the Fourth Proportional to 686.84, 947.82 and 376.34

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Solution

The fourth proportional to 686.84, 947.82 and 376.34 is: 519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.84 : 947.82 = 376.34 : x
  2. Step 2: Convert to fraction form
    686.84/947.82 = 376.34/x
  3. Step 3: Cross multiply
    686.84x = 947.82 × 376.34
  4. Step 4: Simplify right side
    686.84x = 356,702.58
  5. Step 5: Solve for x
    x = 356,702.58/686.84
  6. Step 6: Final answer
    x = 519.34

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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.