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Finding the Fourth Proportional to 759.33, 1,138.42 and 297.44

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Solution

The fourth proportional to 759.33, 1,138.42 and 297.44 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.33 : 1,138.42 = 297.44 : x
  2. Step 2: Convert to fraction form
    759.33/1,138.42 = 297.44/x
  3. Step 3: Cross multiply
    759.33x = 1,138.42 × 297.44
  4. Step 4: Simplify right side
    759.33x = 338,611.64
  5. Step 5: Solve for x
    x = 338,611.64/759.33
  6. Step 6: Final answer
    x = 445.93

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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.