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Finding the Fourth Proportional to 1,286.48, 1,928.76 and 1,058

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Solution

The fourth proportional to 1,286.48, 1,928.76 and 1,058 is: 1,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.48 : 1,928.76 = 1,058 : x
  2. Step 2: Convert to fraction form
    1,286.48/1,928.76 = 1,058/x
  3. Step 3: Cross multiply
    1,286.48x = 1,928.76 × 1,058
  4. Step 4: Simplify right side
    1,286.48x = 2,040,628.08
  5. Step 5: Solve for x
    x = 2,040,628.08/1,286.48
  6. Step 6: Final answer
    x = 1,586.21

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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.