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Finding the Fourth Proportional to 985.82, 1,351.61 and 968.26

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Solution

The fourth proportional to 985.82, 1,351.61 and 968.26 is: 1,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,351.61 = 968.26 : x
  2. Step 2: Convert to fraction form
    985.82/1,351.61 = 968.26/x
  3. Step 3: Cross multiply
    985.82x = 1,351.61 × 968.26
  4. Step 4: Simplify right side
    985.82x = 1,308,709.90
  5. Step 5: Solve for x
    x = 1,308,709.90/985.82
  6. Step 6: Final answer
    x = 1,327.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.