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Finding the Fourth Proportional to 1,399.25, 1,930.97 and 778.25

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Solution

The fourth proportional to 1,399.25, 1,930.97 and 778.25 is: 1,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.25 : 1,930.97 = 778.25 : x
  2. Step 2: Convert to fraction form
    1,399.25/1,930.97 = 778.25/x
  3. Step 3: Cross multiply
    1,399.25x = 1,930.97 × 778.25
  4. Step 4: Simplify right side
    1,399.25x = 1,502,777.40
  5. Step 5: Solve for x
    x = 1,502,777.40/1,399.25
  6. Step 6: Final answer
    x = 1,073.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.