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Finding the Fourth Proportional to 1,311.30, 1,967.22 and 571.23

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Solution

The fourth proportional to 1,311.30, 1,967.22 and 571.23 is: 856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.30 : 1,967.22 = 571.23 : x
  2. Step 2: Convert to fraction form
    1,311.30/1,967.22 = 571.23/x
  3. Step 3: Cross multiply
    1,311.30x = 1,967.22 × 571.23
  4. Step 4: Simplify right side
    1,311.30x = 1,123,735.08
  5. Step 5: Solve for x
    x = 1,123,735.08/1,311.30
  6. Step 6: Final answer
    x = 856.96

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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.