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Finding the Fourth Proportional to 1,469.19, 2,203.41 and 428.91

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Solution

The fourth proportional to 1,469.19, 2,203.41 and 428.91 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.19 : 2,203.41 = 428.91 : x
  2. Step 2: Convert to fraction form
    1,469.19/2,203.41 = 428.91/x
  3. Step 3: Cross multiply
    1,469.19x = 2,203.41 × 428.91
  4. Step 4: Simplify right side
    1,469.19x = 945,064.58
  5. Step 5: Solve for x
    x = 945,064.58/1,469.19
  6. Step 6: Final answer
    x = 643.26

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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.