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Finding the Fourth Proportional to 1,604, 2,406.41 and 449.75

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Solution

The fourth proportional to 1,604, 2,406.41 and 449.75 is: 674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604 : 2,406.41 = 449.75 : x
  2. Step 2: Convert to fraction form
    1,604/2,406.41 = 449.75/x
  3. Step 3: Cross multiply
    1,604x = 2,406.41 × 449.75
  4. Step 4: Simplify right side
    1,604x = 1,082,280.65
  5. Step 5: Solve for x
    x = 1,082,280.65/1,604
  6. Step 6: Final answer
    x = 674.74

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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.