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Finding the Fourth Proportional to 746.83, 1,120.09 and 259.78

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Solution

The fourth proportional to 746.83, 1,120.09 and 259.78 is: 389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.83 : 1,120.09 = 259.78 : x
  2. Step 2: Convert to fraction form
    746.83/1,120.09 = 259.78/x
  3. Step 3: Cross multiply
    746.83x = 1,120.09 × 259.78
  4. Step 4: Simplify right side
    746.83x = 290,976.98
  5. Step 5: Solve for x
    x = 290,976.98/746.83
  6. Step 6: Final answer
    x = 389.62

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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.