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Finding the Fourth Proportional to 1,286.18, 1,928.05 and 636.15

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Solution

The fourth proportional to 1,286.18, 1,928.05 and 636.15 is: 953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.18 : 1,928.05 = 636.15 : x
  2. Step 2: Convert to fraction form
    1,286.18/1,928.05 = 636.15/x
  3. Step 3: Cross multiply
    1,286.18x = 1,928.05 × 636.15
  4. Step 4: Simplify right side
    1,286.18x = 1,226,525.83
  5. Step 5: Solve for x
    x = 1,226,525.83/1,286.18
  6. Step 6: Final answer
    x = 953.62

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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.