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Finding the Fourth Proportional to 1,467.33, 2,201.10 and 427.34

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Solution

The fourth proportional to 1,467.33, 2,201.10 and 427.34 is: 641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.33 : 2,201.10 = 427.34 : x
  2. Step 2: Convert to fraction form
    1,467.33/2,201.10 = 427.34/x
  3. Step 3: Cross multiply
    1,467.33x = 2,201.10 × 427.34
  4. Step 4: Simplify right side
    1,467.33x = 940,618.07
  5. Step 5: Solve for x
    x = 940,618.07/1,467.33
  6. Step 6: Final answer
    x = 641.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.