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Finding the Fourth Proportional to 1,295.94, 1,942.64 and 679.70

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Solution

The fourth proportional to 1,295.94, 1,942.64 and 679.70 is: 1,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.94 : 1,942.64 = 679.70 : x
  2. Step 2: Convert to fraction form
    1,295.94/1,942.64 = 679.70/x
  3. Step 3: Cross multiply
    1,295.94x = 1,942.64 × 679.70
  4. Step 4: Simplify right side
    1,295.94x = 1,320,412.41
  5. Step 5: Solve for x
    x = 1,320,412.41/1,295.94
  6. Step 6: Final answer
    x = 1,018.88

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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.