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Finding the Fourth Proportional to 759.32, 1,138.62 and 499.31

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Solution

The fourth proportional to 759.32, 1,138.62 and 499.31 is: 748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.32 : 1,138.62 = 499.31 : x
  2. Step 2: Convert to fraction form
    759.32/1,138.62 = 499.31/x
  3. Step 3: Cross multiply
    759.32x = 1,138.62 × 499.31
  4. Step 4: Simplify right side
    759.32x = 568,524.35
  5. Step 5: Solve for x
    x = 568,524.35/759.32
  6. Step 6: Final answer
    x = 748.73

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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.