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Finding the Fourth Proportional to 759.66, 1,138.78 and 412.48

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Solution

The fourth proportional to 759.66, 1,138.78 and 412.48 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.66 : 1,138.78 = 412.48 : x
  2. Step 2: Convert to fraction form
    759.66/1,138.78 = 412.48/x
  3. Step 3: Cross multiply
    759.66x = 1,138.78 × 412.48
  4. Step 4: Simplify right side
    759.66x = 469,723.97
  5. Step 5: Solve for x
    x = 469,723.97/759.66
  6. Step 6: Final answer
    x = 618.33

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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.