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Finding the Fourth Proportional to 1,286.46, 1,933.49 and 1,068.50

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Solution

The fourth proportional to 1,286.46, 1,933.49 and 1,068.50 is: 1,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.46 : 1,933.49 = 1,068.50 : x
  2. Step 2: Convert to fraction form
    1,286.46/1,933.49 = 1,068.50/x
  3. Step 3: Cross multiply
    1,286.46x = 1,933.49 × 1,068.50
  4. Step 4: Simplify right side
    1,286.46x = 2,065,919.06
  5. Step 5: Solve for x
    x = 2,065,919.06/1,286.46
  6. Step 6: Final answer
    x = 1,605.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.