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Finding the Fourth Proportional to 1,084.44, 1,497.24 and 967.80

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Solution

The fourth proportional to 1,084.44, 1,497.24 and 967.80 is: 1,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.44 : 1,497.24 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,084.44/1,497.24 = 967.80/x
  3. Step 3: Cross multiply
    1,084.44x = 1,497.24 × 967.80
  4. Step 4: Simplify right side
    1,084.44x = 1,449,028.87
  5. Step 5: Solve for x
    x = 1,449,028.87/1,084.44
  6. Step 6: Final answer
    x = 1,336.20

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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.