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Finding the Fourth Proportional to 1,306.56, 1,958.72 and 872.96

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Solution

The fourth proportional to 1,306.56, 1,958.72 and 872.96 is: 1,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.56 : 1,958.72 = 872.96 : x
  2. Step 2: Convert to fraction form
    1,306.56/1,958.72 = 872.96/x
  3. Step 3: Cross multiply
    1,306.56x = 1,958.72 × 872.96
  4. Step 4: Simplify right side
    1,306.56x = 1,709,884.21
  5. Step 5: Solve for x
    x = 1,709,884.21/1,306.56
  6. Step 6: Final answer
    x = 1,308.69

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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.