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Finding the Fourth Proportional to 1,446.60, 1,996.80 and 922.52

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Solution

The fourth proportional to 1,446.60, 1,996.80 and 922.52 is: 1,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.60 : 1,996.80 = 922.52 : x
  2. Step 2: Convert to fraction form
    1,446.60/1,996.80 = 922.52/x
  3. Step 3: Cross multiply
    1,446.60x = 1,996.80 × 922.52
  4. Step 4: Simplify right side
    1,446.60x = 1,842,087.94
  5. Step 5: Solve for x
    x = 1,842,087.94/1,446.60
  6. Step 6: Final answer
    x = 1,273.39

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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.