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Finding the Fourth Proportional to 1,076.33, 1,613.80 and 490.73

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Solution

The fourth proportional to 1,076.33, 1,613.80 and 490.73 is: 735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.33 : 1,613.80 = 490.73 : x
  2. Step 2: Convert to fraction form
    1,076.33/1,613.80 = 490.73/x
  3. Step 3: Cross multiply
    1,076.33x = 1,613.80 × 490.73
  4. Step 4: Simplify right side
    1,076.33x = 791,940.07
  5. Step 5: Solve for x
    x = 791,940.07/1,076.33
  6. Step 6: Final answer
    x = 735.78

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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.