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Finding the Fourth Proportional to 1,467.35, 2,201.02 and 441.35

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Solution

The fourth proportional to 1,467.35, 2,201.02 and 441.35 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.35 : 2,201.02 = 441.35 : x
  2. Step 2: Convert to fraction form
    1,467.35/2,201.02 = 441.35/x
  3. Step 3: Cross multiply
    1,467.35x = 2,201.02 × 441.35
  4. Step 4: Simplify right side
    1,467.35x = 971,417.97
  5. Step 5: Solve for x
    x = 971,417.97/1,467.35
  6. Step 6: Final answer
    x = 662.02

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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.