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Finding the Fourth Proportional to 1,540.76, 2,309.78 and 720.03

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Solution

The fourth proportional to 1,540.76, 2,309.78 and 720.03 is: 1,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.76 : 2,309.78 = 720.03 : x
  2. Step 2: Convert to fraction form
    1,540.76/2,309.78 = 720.03/x
  3. Step 3: Cross multiply
    1,540.76x = 2,309.78 × 720.03
  4. Step 4: Simplify right side
    1,540.76x = 1,663,107.29
  5. Step 5: Solve for x
    x = 1,663,107.29/1,540.76
  6. Step 6: Final answer
    x = 1,079.41

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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.