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Finding the Fourth Proportional to 1,469.69, 2,203.98 and 482.27

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Solution

The fourth proportional to 1,469.69, 2,203.98 and 482.27 is: 723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.69 : 2,203.98 = 482.27 : x
  2. Step 2: Convert to fraction form
    1,469.69/2,203.98 = 482.27/x
  3. Step 3: Cross multiply
    1,469.69x = 2,203.98 × 482.27
  4. Step 4: Simplify right side
    1,469.69x = 1,062,904.27
  5. Step 5: Solve for x
    x = 1,062,904.27/1,469.69
  6. Step 6: Final answer
    x = 723.22

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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.