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Finding the Fourth Proportional to 1,004.56, 1,503.48 and 759.73

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Solution

The fourth proportional to 1,004.56, 1,503.48 and 759.73 is: 1,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.56 : 1,503.48 = 759.73 : x
  2. Step 2: Convert to fraction form
    1,004.56/1,503.48 = 759.73/x
  3. Step 3: Cross multiply
    1,004.56x = 1,503.48 × 759.73
  4. Step 4: Simplify right side
    1,004.56x = 1,142,238.86
  5. Step 5: Solve for x
    x = 1,142,238.86/1,004.56
  6. Step 6: Final answer
    x = 1,137.05

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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.