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Finding the Fourth Proportional to 1,057.68, 1,586.77 and 327.22

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Solution

The fourth proportional to 1,057.68, 1,586.77 and 327.22 is: 490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,586.77 = 327.22 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,586.77 = 327.22/x
  3. Step 3: Cross multiply
    1,057.68x = 1,586.77 × 327.22
  4. Step 4: Simplify right side
    1,057.68x = 519,218.09
  5. Step 5: Solve for x
    x = 519,218.09/1,057.68
  6. Step 6: Final answer
    x = 490.90

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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.