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Finding the Fourth Proportional to 681.57, 1,021.02 and 449.75

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Solution

The fourth proportional to 681.57, 1,021.02 and 449.75 is: 673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.57 : 1,021.02 = 449.75 : x
  2. Step 2: Convert to fraction form
    681.57/1,021.02 = 449.75/x
  3. Step 3: Cross multiply
    681.57x = 1,021.02 × 449.75
  4. Step 4: Simplify right side
    681.57x = 459,203.75
  5. Step 5: Solve for x
    x = 459,203.75/681.57
  6. Step 6: Final answer
    x = 673.74

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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.