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Finding the Fourth Proportional to 1,163.25, 1,744.19 and 469.94

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Solution

The fourth proportional to 1,163.25, 1,744.19 and 469.94 is: 704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.25 : 1,744.19 = 469.94 : x
  2. Step 2: Convert to fraction form
    1,163.25/1,744.19 = 469.94/x
  3. Step 3: Cross multiply
    1,163.25x = 1,744.19 × 469.94
  4. Step 4: Simplify right side
    1,163.25x = 819,653.58
  5. Step 5: Solve for x
    x = 819,653.58/1,163.25
  6. Step 6: Final answer
    x = 704.63

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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.