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Finding the Fourth Proportional to 937.73, 1,294.62 and 643.43

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Solution

The fourth proportional to 937.73, 1,294.62 and 643.43 is: 888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.73 : 1,294.62 = 643.43 : x
  2. Step 2: Convert to fraction form
    937.73/1,294.62 = 643.43/x
  3. Step 3: Cross multiply
    937.73x = 1,294.62 × 643.43
  4. Step 4: Simplify right side
    937.73x = 832,997.35
  5. Step 5: Solve for x
    x = 832,997.35/937.73
  6. Step 6: Final answer
    x = 888.31

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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.