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Finding the Fourth Proportional to 1,294.97, 1,940.93 and 678.97

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Solution

The fourth proportional to 1,294.97, 1,940.93 and 678.97 is: 1,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.97 : 1,940.93 = 678.97 : x
  2. Step 2: Convert to fraction form
    1,294.97/1,940.93 = 678.97/x
  3. Step 3: Cross multiply
    1,294.97x = 1,940.93 × 678.97
  4. Step 4: Simplify right side
    1,294.97x = 1,317,830.09
  5. Step 5: Solve for x
    x = 1,317,830.09/1,294.97
  6. Step 6: Final answer
    x = 1,017.65

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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.