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Finding the Fourth Proportional to 1,286.53, 1,928.10 and 701.79

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Solution

The fourth proportional to 1,286.53, 1,928.10 and 701.79 is: 1,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.53 : 1,928.10 = 701.79 : x
  2. Step 2: Convert to fraction form
    1,286.53/1,928.10 = 701.79/x
  3. Step 3: Cross multiply
    1,286.53x = 1,928.10 × 701.79
  4. Step 4: Simplify right side
    1,286.53x = 1,353,121.30
  5. Step 5: Solve for x
    x = 1,353,121.30/1,286.53
  6. Step 6: Final answer
    x = 1,051.76

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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.