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Finding the Fourth Proportional to 759.29, 1,138.91 and 369.21

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Solution

The fourth proportional to 759.29, 1,138.91 and 369.21 is: 553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.29 : 1,138.91 = 369.21 : x
  2. Step 2: Convert to fraction form
    759.29/1,138.91 = 369.21/x
  3. Step 3: Cross multiply
    759.29x = 1,138.91 × 369.21
  4. Step 4: Simplify right side
    759.29x = 420,495.12
  5. Step 5: Solve for x
    x = 420,495.12/759.29
  6. Step 6: Final answer
    x = 553.80

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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.