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Finding the Fourth Proportional to 1,309.26, 1,964.75 and 487.54

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Solution

The fourth proportional to 1,309.26, 1,964.75 and 487.54 is: 731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.26 : 1,964.75 = 487.54 : x
  2. Step 2: Convert to fraction form
    1,309.26/1,964.75 = 487.54/x
  3. Step 3: Cross multiply
    1,309.26x = 1,964.75 × 487.54
  4. Step 4: Simplify right side
    1,309.26x = 957,894.22
  5. Step 5: Solve for x
    x = 957,894.22/1,309.26
  6. Step 6: Final answer
    x = 731.63

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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.