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Finding the Fourth Proportional to 1,286.49, 1,928.53 and 700.63

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Solution

The fourth proportional to 1,286.49, 1,928.53 and 700.63 is: 1,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.49 : 1,928.53 = 700.63 : x
  2. Step 2: Convert to fraction form
    1,286.49/1,928.53 = 700.63/x
  3. Step 3: Cross multiply
    1,286.49x = 1,928.53 × 700.63
  4. Step 4: Simplify right side
    1,286.49x = 1,351,185.97
  5. Step 5: Solve for x
    x = 1,351,185.97/1,286.49
  6. Step 6: Final answer
    x = 1,050.29

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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.