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Finding the Fourth Proportional to 1,309.25, 1,963.58 and 487.61

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Solution

The fourth proportional to 1,309.25, 1,963.58 and 487.61 is: 731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.25 : 1,963.58 = 487.61 : x
  2. Step 2: Convert to fraction form
    1,309.25/1,963.58 = 487.61/x
  3. Step 3: Cross multiply
    1,309.25x = 1,963.58 × 487.61
  4. Step 4: Simplify right side
    1,309.25x = 957,458.81
  5. Step 5: Solve for x
    x = 957,458.81/1,309.25
  6. Step 6: Final answer
    x = 731.30

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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.