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Finding the Fourth Proportional to 967.28, 1,334.44 and 617.84

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Solution

The fourth proportional to 967.28, 1,334.44 and 617.84 is: 852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.28 : 1,334.44 = 617.84 : x
  2. Step 2: Convert to fraction form
    967.28/1,334.44 = 617.84/x
  3. Step 3: Cross multiply
    967.28x = 1,334.44 × 617.84
  4. Step 4: Simplify right side
    967.28x = 824,470.41
  5. Step 5: Solve for x
    x = 824,470.41/967.28
  6. Step 6: Final answer
    x = 852.36

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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.