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Finding the Fourth Proportional to 1,398.70, 2,093.94 and 980.78

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Solution

The fourth proportional to 1,398.70, 2,093.94 and 980.78 is: 1,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.70 : 2,093.94 = 980.78 : x
  2. Step 2: Convert to fraction form
    1,398.70/2,093.94 = 980.78/x
  3. Step 3: Cross multiply
    1,398.70x = 2,093.94 × 980.78
  4. Step 4: Simplify right side
    1,398.70x = 2,053,694.47
  5. Step 5: Solve for x
    x = 2,053,694.47/1,398.70
  6. Step 6: Final answer
    x = 1,468.29

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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.