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Finding the Fourth Proportional to 1,467.38, 2,201.34 and 602.30

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Solution

The fourth proportional to 1,467.38, 2,201.34 and 602.30 is: 903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.38 : 2,201.34 = 602.30 : x
  2. Step 2: Convert to fraction form
    1,467.38/2,201.34 = 602.30/x
  3. Step 3: Cross multiply
    1,467.38x = 2,201.34 × 602.30
  4. Step 4: Simplify right side
    1,467.38x = 1,325,867.08
  5. Step 5: Solve for x
    x = 1,325,867.08/1,467.38
  6. Step 6: Final answer
    x = 903.56

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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.