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Finding the Fourth Proportional to 968.34, 1,336.41 and 618.96

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Solution

The fourth proportional to 968.34, 1,336.41 and 618.96 is: 854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.34 : 1,336.41 = 618.96 : x
  2. Step 2: Convert to fraction form
    968.34/1,336.41 = 618.96/x
  3. Step 3: Cross multiply
    968.34x = 1,336.41 × 618.96
  4. Step 4: Simplify right side
    968.34x = 827,184.33
  5. Step 5: Solve for x
    x = 827,184.33/968.34
  6. Step 6: Final answer
    x = 854.23

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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.