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Finding the Fourth Proportional to 1,604.19, 2,406.37 and 450.03

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Solution

The fourth proportional to 1,604.19, 2,406.37 and 450.03 is: 675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.19 : 2,406.37 = 450.03 : x
  2. Step 2: Convert to fraction form
    1,604.19/2,406.37 = 450.03/x
  3. Step 3: Cross multiply
    1,604.19x = 2,406.37 × 450.03
  4. Step 4: Simplify right side
    1,604.19x = 1,082,938.69
  5. Step 5: Solve for x
    x = 1,082,938.69/1,604.19
  6. Step 6: Final answer
    x = 675.07

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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.