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Finding the Fourth Proportional to 968.05, 1,335.66 and 613.34

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Solution

The fourth proportional to 968.05, 1,335.66 and 613.34 is: 846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.05 : 1,335.66 = 613.34 : x
  2. Step 2: Convert to fraction form
    968.05/1,335.66 = 613.34/x
  3. Step 3: Cross multiply
    968.05x = 1,335.66 × 613.34
  4. Step 4: Simplify right side
    968.05x = 819,203.96
  5. Step 5: Solve for x
    x = 819,203.96/968.05
  6. Step 6: Final answer
    x = 846.25

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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.