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Finding the Fourth Proportional to 1,003.24, 1,503.24 and 759.43

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Solution

The fourth proportional to 1,003.24, 1,503.24 and 759.43 is: 1,137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.24 : 1,503.24 = 759.43 : x
  2. Step 2: Convert to fraction form
    1,003.24/1,503.24 = 759.43/x
  3. Step 3: Cross multiply
    1,003.24x = 1,503.24 × 759.43
  4. Step 4: Simplify right side
    1,003.24x = 1,141,605.55
  5. Step 5: Solve for x
    x = 1,141,605.55/1,003.24
  6. Step 6: Final answer
    x = 1,137.92

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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.