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Finding the Fourth Proportional to 1,428.78, 1,971.62 and 799.37

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Solution

The fourth proportional to 1,428.78, 1,971.62 and 799.37 is: 1,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.78 : 1,971.62 = 799.37 : x
  2. Step 2: Convert to fraction form
    1,428.78/1,971.62 = 799.37/x
  3. Step 3: Cross multiply
    1,428.78x = 1,971.62 × 799.37
  4. Step 4: Simplify right side
    1,428.78x = 1,576,044.02
  5. Step 5: Solve for x
    x = 1,576,044.02/1,428.78
  6. Step 6: Final answer
    x = 1,103.07

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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.