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Finding the Fourth Proportional to 1,059.20, 1,589.27 and 571.68

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Solution

The fourth proportional to 1,059.20, 1,589.27 and 571.68 is: 857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.20 : 1,589.27 = 571.68 : x
  2. Step 2: Convert to fraction form
    1,059.20/1,589.27 = 571.68/x
  3. Step 3: Cross multiply
    1,059.20x = 1,589.27 × 571.68
  4. Step 4: Simplify right side
    1,059.20x = 908,558.70
  5. Step 5: Solve for x
    x = 908,558.70/1,059.20
  6. Step 6: Final answer
    x = 857.78

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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.