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Finding the Fourth Proportional to 746.00, 1,119.44 and 259.39

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Solution

The fourth proportional to 746.00, 1,119.44 and 259.39 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.00 : 1,119.44 = 259.39 : x
  2. Step 2: Convert to fraction form
    746.00/1,119.44 = 259.39/x
  3. Step 3: Cross multiply
    746.00x = 1,119.44 × 259.39
  4. Step 4: Simplify right side
    746.00x = 290,369.39
  5. Step 5: Solve for x
    x = 290,369.39/746.00
  6. Step 6: Final answer
    x = 389.24

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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.