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Finding the Fourth Proportional to 1,163.96, 1,745.49 and 470.45

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Solution

The fourth proportional to 1,163.96, 1,745.49 and 470.45 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.96 : 1,745.49 = 470.45 : x
  2. Step 2: Convert to fraction form
    1,163.96/1,745.49 = 470.45/x
  3. Step 3: Cross multiply
    1,163.96x = 1,745.49 × 470.45
  4. Step 4: Simplify right side
    1,163.96x = 821,165.77
  5. Step 5: Solve for x
    x = 821,165.77/1,163.96
  6. Step 6: Final answer
    x = 705.49

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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.