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Finding the Fourth Proportional to 1,309.38, 1,965.06 and 488.40

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Solution

The fourth proportional to 1,309.38, 1,965.06 and 488.40 is: 732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.38 : 1,965.06 = 488.40 : x
  2. Step 2: Convert to fraction form
    1,309.38/1,965.06 = 488.40/x
  3. Step 3: Cross multiply
    1,309.38x = 1,965.06 × 488.40
  4. Step 4: Simplify right side
    1,309.38x = 959,735.30
  5. Step 5: Solve for x
    x = 959,735.30/1,309.38
  6. Step 6: Final answer
    x = 732.97

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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.