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Finding the Fourth Proportional to 746.33, 1,119.82 and 259.73

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Solution

The fourth proportional to 746.33, 1,119.82 and 259.73 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.33 : 1,119.82 = 259.73 : x
  2. Step 2: Convert to fraction form
    746.33/1,119.82 = 259.73/x
  3. Step 3: Cross multiply
    746.33x = 1,119.82 × 259.73
  4. Step 4: Simplify right side
    746.33x = 290,844.60
  5. Step 5: Solve for x
    x = 290,844.60/746.33
  6. Step 6: Final answer
    x = 389.70

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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.