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Finding the Fourth Proportional to 989.89, 1,363.26 and 968.36

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Solution

The fourth proportional to 989.89, 1,363.26 and 968.36 is: 1,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.89 : 1,363.26 = 968.36 : x
  2. Step 2: Convert to fraction form
    989.89/1,363.26 = 968.36/x
  3. Step 3: Cross multiply
    989.89x = 1,363.26 × 968.36
  4. Step 4: Simplify right side
    989.89x = 1,320,126.45
  5. Step 5: Solve for x
    x = 1,320,126.45/989.89
  6. Step 6: Final answer
    x = 1,333.61

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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.