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Finding the Fourth Proportional to 1,362.23, 2,044.02 and 631.97

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Solution

The fourth proportional to 1,362.23, 2,044.02 and 631.97 is: 948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.23 : 2,044.02 = 631.97 : x
  2. Step 2: Convert to fraction form
    1,362.23/2,044.02 = 631.97/x
  3. Step 3: Cross multiply
    1,362.23x = 2,044.02 × 631.97
  4. Step 4: Simplify right side
    1,362.23x = 1,291,759.32
  5. Step 5: Solve for x
    x = 1,291,759.32/1,362.23
  6. Step 6: Final answer
    x = 948.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.