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Finding the Fourth Proportional to 759.75, 1,138.41 and 394.08

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Solution

The fourth proportional to 759.75, 1,138.41 and 394.08 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 1,138.41 = 394.08 : x
  2. Step 2: Convert to fraction form
    759.75/1,138.41 = 394.08/x
  3. Step 3: Cross multiply
    759.75x = 1,138.41 × 394.08
  4. Step 4: Simplify right side
    759.75x = 448,624.61
  5. Step 5: Solve for x
    x = 448,624.61/759.75
  6. Step 6: Final answer
    x = 590.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.