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Finding the Fourth Proportional to 1,464.22, 2,194.80 and 641.80

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Solution

The fourth proportional to 1,464.22, 2,194.80 and 641.80 is: 962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.22 : 2,194.80 = 641.80 : x
  2. Step 2: Convert to fraction form
    1,464.22/2,194.80 = 641.80/x
  3. Step 3: Cross multiply
    1,464.22x = 2,194.80 × 641.80
  4. Step 4: Simplify right side
    1,464.22x = 1,408,622.64
  5. Step 5: Solve for x
    x = 1,408,622.64/1,464.22
  6. Step 6: Final answer
    x = 962.03

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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.