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Finding the Fourth Proportional to 1,076.75, 1,613.80 and 459.73

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Solution

The fourth proportional to 1,076.75, 1,613.80 and 459.73 is: 689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.75 : 1,613.80 = 459.73 : x
  2. Step 2: Convert to fraction form
    1,076.75/1,613.80 = 459.73/x
  3. Step 3: Cross multiply
    1,076.75x = 1,613.80 × 459.73
  4. Step 4: Simplify right side
    1,076.75x = 741,912.27
  5. Step 5: Solve for x
    x = 741,912.27/1,076.75
  6. Step 6: Final answer
    x = 689.03

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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.