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Finding the Fourth Proportional to 968.41, 1,335.94 and 614.23

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Solution

The fourth proportional to 968.41, 1,335.94 and 614.23 is: 847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.41 : 1,335.94 = 614.23 : x
  2. Step 2: Convert to fraction form
    968.41/1,335.94 = 614.23/x
  3. Step 3: Cross multiply
    968.41x = 1,335.94 × 614.23
  4. Step 4: Simplify right side
    968.41x = 820,574.43
  5. Step 5: Solve for x
    x = 820,574.43/968.41
  6. Step 6: Final answer
    x = 847.34

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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.