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Finding the Fourth Proportional to 759.59, 1,138.23 and 394.28

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Solution

The fourth proportional to 759.59, 1,138.23 and 394.28 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.59 : 1,138.23 = 394.28 : x
  2. Step 2: Convert to fraction form
    759.59/1,138.23 = 394.28/x
  3. Step 3: Cross multiply
    759.59x = 1,138.23 × 394.28
  4. Step 4: Simplify right side
    759.59x = 448,775.63
  5. Step 5: Solve for x
    x = 448,775.63/759.59
  6. Step 6: Final answer
    x = 590.82

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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.