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Finding the Fourth Proportional to 759.48, 1,138.71 and 369.03

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Solution

The fourth proportional to 759.48, 1,138.71 and 369.03 is: 553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.48 : 1,138.71 = 369.03 : x
  2. Step 2: Convert to fraction form
    759.48/1,138.71 = 369.03/x
  3. Step 3: Cross multiply
    759.48x = 1,138.71 × 369.03
  4. Step 4: Simplify right side
    759.48x = 420,218.15
  5. Step 5: Solve for x
    x = 420,218.15/759.48
  6. Step 6: Final answer
    x = 553.30

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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.