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Finding the Fourth Proportional to 1,603.97, 2,406.09 and 449.72

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Solution

The fourth proportional to 1,603.97, 2,406.09 and 449.72 is: 674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.97 : 2,406.09 = 449.72 : x
  2. Step 2: Convert to fraction form
    1,603.97/2,406.09 = 449.72/x
  3. Step 3: Cross multiply
    1,603.97x = 2,406.09 × 449.72
  4. Step 4: Simplify right side
    1,603.97x = 1,082,062.94
  5. Step 5: Solve for x
    x = 1,082,062.94/1,603.97
  6. Step 6: Final answer
    x = 674.62

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Why These Related Problems?

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