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Finding the Fourth Proportional to 1,447.32, 1,996.56 and 922.80

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Solution

The fourth proportional to 1,447.32, 1,996.56 and 922.80 is: 1,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.32 : 1,996.56 = 922.80 : x
  2. Step 2: Convert to fraction form
    1,447.32/1,996.56 = 922.80/x
  3. Step 3: Cross multiply
    1,447.32x = 1,996.56 × 922.80
  4. Step 4: Simplify right side
    1,447.32x = 1,842,425.57
  5. Step 5: Solve for x
    x = 1,842,425.57/1,447.32
  6. Step 6: Final answer
    x = 1,272.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.