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Finding the Fourth Proportional to 1,604.28, 2,406.42 and 450.04

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Solution

The fourth proportional to 1,604.28, 2,406.42 and 450.04 is: 675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.28 : 2,406.42 = 450.04 : x
  2. Step 2: Convert to fraction form
    1,604.28/2,406.42 = 450.04/x
  3. Step 3: Cross multiply
    1,604.28x = 2,406.42 × 450.04
  4. Step 4: Simplify right side
    1,604.28x = 1,082,985.26
  5. Step 5: Solve for x
    x = 1,082,985.26/1,604.28
  6. Step 6: Final answer
    x = 675.06

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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.