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Finding the Fourth Proportional to 1,286.00, 1,928.99 and 312.11

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Solution

The fourth proportional to 1,286.00, 1,928.99 and 312.11 is: 468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.00 : 1,928.99 = 312.11 : x
  2. Step 2: Convert to fraction form
    1,286.00/1,928.99 = 312.11/x
  3. Step 3: Cross multiply
    1,286.00x = 1,928.99 × 312.11
  4. Step 4: Simplify right side
    1,286.00x = 602,050.01
  5. Step 5: Solve for x
    x = 602,050.01/1,286.00
  6. Step 6: Final answer
    x = 468.16

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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.