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Finding the Fourth Proportional to 967.44, 1,334.81 and 613.19

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Solution

The fourth proportional to 967.44, 1,334.81 and 613.19 is: 846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,334.81 = 613.19 : x
  2. Step 2: Convert to fraction form
    967.44/1,334.81 = 613.19/x
  3. Step 3: Cross multiply
    967.44x = 1,334.81 × 613.19
  4. Step 4: Simplify right side
    967.44x = 818,497.01
  5. Step 5: Solve for x
    x = 818,497.01/967.44
  6. Step 6: Final answer
    x = 846.04

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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.