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Finding the Fourth Proportional to 1,057.71, 1,586.82 and 327.27

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Solution

The fourth proportional to 1,057.71, 1,586.82 and 327.27 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.71 : 1,586.82 = 327.27 : x
  2. Step 2: Convert to fraction form
    1,057.71/1,586.82 = 327.27/x
  3. Step 3: Cross multiply
    1,057.71x = 1,586.82 × 327.27
  4. Step 4: Simplify right side
    1,057.71x = 519,325.76
  5. Step 5: Solve for x
    x = 519,325.76/1,057.71
  6. Step 6: Final answer
    x = 490.99

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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.