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Finding the Fourth Proportional to 967.29, 1,334.46 and 613.09

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Solution

The fourth proportional to 967.29, 1,334.46 and 613.09 is: 845.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.29 : 1,334.46 = 613.09 : x
  2. Step 2: Convert to fraction form
    967.29/1,334.46 = 613.09/x
  3. Step 3: Cross multiply
    967.29x = 1,334.46 × 613.09
  4. Step 4: Simplify right side
    967.29x = 818,144.08
  5. Step 5: Solve for x
    x = 818,144.08/967.29
  6. Step 6: Final answer
    x = 845.81

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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.