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Finding the Fourth Proportional to 1,076.82, 1,614.31 and 491.61

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Solution

The fourth proportional to 1,076.82, 1,614.31 and 491.61 is: 736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.82 : 1,614.31 = 491.61 : x
  2. Step 2: Convert to fraction form
    1,076.82/1,614.31 = 491.61/x
  3. Step 3: Cross multiply
    1,076.82x = 1,614.31 × 491.61
  4. Step 4: Simplify right side
    1,076.82x = 793,610.94
  5. Step 5: Solve for x
    x = 793,610.94/1,076.82
  6. Step 6: Final answer
    x = 736.99

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