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Finding the Fourth Proportional to 1,446.89, 1,996.68 and 783.73

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Solution

The fourth proportional to 1,446.89, 1,996.68 and 783.73 is: 1,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.89 : 1,996.68 = 783.73 : x
  2. Step 2: Convert to fraction form
    1,446.89/1,996.68 = 783.73/x
  3. Step 3: Cross multiply
    1,446.89x = 1,996.68 × 783.73
  4. Step 4: Simplify right side
    1,446.89x = 1,564,853.02
  5. Step 5: Solve for x
    x = 1,564,853.02/1,446.89
  6. Step 6: Final answer
    x = 1,081.53

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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.