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Finding the Fourth Proportional to 745.97, 1,119.47 and 259.02

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Solution

The fourth proportional to 745.97, 1,119.47 and 259.02 is: 388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.97 : 1,119.47 = 259.02 : x
  2. Step 2: Convert to fraction form
    745.97/1,119.47 = 259.02/x
  3. Step 3: Cross multiply
    745.97x = 1,119.47 × 259.02
  4. Step 4: Simplify right side
    745.97x = 289,964.80
  5. Step 5: Solve for x
    x = 289,964.80/745.97
  6. Step 6: Final answer
    x = 388.71

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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.