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Finding the Fourth Proportional to 1,286.01, 1,928.34 and 668.18

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Solution

The fourth proportional to 1,286.01, 1,928.34 and 668.18 is: 1,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.01 : 1,928.34 = 668.18 : x
  2. Step 2: Convert to fraction form
    1,286.01/1,928.34 = 668.18/x
  3. Step 3: Cross multiply
    1,286.01x = 1,928.34 × 668.18
  4. Step 4: Simplify right side
    1,286.01x = 1,288,483.04
  5. Step 5: Solve for x
    x = 1,288,483.04/1,286.01
  6. Step 6: Final answer
    x = 1,001.92

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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.