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Finding the Fourth Proportional to 1,604.45, 2,406.75 and 450.29

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Solution

The fourth proportional to 1,604.45, 2,406.75 and 450.29 is: 675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.45 : 2,406.75 = 450.29 : x
  2. Step 2: Convert to fraction form
    1,604.45/2,406.75 = 450.29/x
  3. Step 3: Cross multiply
    1,604.45x = 2,406.75 × 450.29
  4. Step 4: Simplify right side
    1,604.45x = 1,083,723.42
  5. Step 5: Solve for x
    x = 1,083,723.42/1,604.45
  6. Step 6: Final answer
    x = 675.45

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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.