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Finding the Fourth Proportional to 759.16, 1,138.57 and 388.56

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Solution

The fourth proportional to 759.16, 1,138.57 and 388.56 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.16 : 1,138.57 = 388.56 : x
  2. Step 2: Convert to fraction form
    759.16/1,138.57 = 388.56/x
  3. Step 3: Cross multiply
    759.16x = 1,138.57 × 388.56
  4. Step 4: Simplify right side
    759.16x = 442,408.24
  5. Step 5: Solve for x
    x = 442,408.24/759.16
  6. Step 6: Final answer
    x = 582.76

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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.