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Finding the Fourth Proportional to 759.24, 1,137.24 and 326.16

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Solution

The fourth proportional to 759.24, 1,137.24 and 326.16 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.24 : 1,137.24 = 326.16 : x
  2. Step 2: Convert to fraction form
    759.24/1,137.24 = 326.16/x
  3. Step 3: Cross multiply
    759.24x = 1,137.24 × 326.16
  4. Step 4: Simplify right side
    759.24x = 370,922.20
  5. Step 5: Solve for x
    x = 370,922.20/759.24
  6. Step 6: Final answer
    x = 488.54

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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.