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Finding the Fourth Proportional to 1,163.98, 1,745.69 and 470.47

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Solution

The fourth proportional to 1,163.98, 1,745.69 and 470.47 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.98 : 1,745.69 = 470.47 : x
  2. Step 2: Convert to fraction form
    1,163.98/1,745.69 = 470.47/x
  3. Step 3: Cross multiply
    1,163.98x = 1,745.69 × 470.47
  4. Step 4: Simplify right side
    1,163.98x = 821,295.95
  5. Step 5: Solve for x
    x = 821,295.95/1,163.98
  6. Step 6: Final answer
    x = 705.59

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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.