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Finding the Fourth Proportional to 686.93, 947.97 and 376.43

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Solution

The fourth proportional to 686.93, 947.97 and 376.43 is: 519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.93 : 947.97 = 376.43 : x
  2. Step 2: Convert to fraction form
    686.93/947.97 = 376.43/x
  3. Step 3: Cross multiply
    686.93x = 947.97 × 376.43
  4. Step 4: Simplify right side
    686.93x = 356,844.35
  5. Step 5: Solve for x
    x = 356,844.35/686.93
  6. Step 6: Final answer
    x = 519.48

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