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Finding the Fourth Proportional to 1,400.52, 1,930.67 and 979.56

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Solution

The fourth proportional to 1,400.52, 1,930.67 and 979.56 is: 1,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.52 : 1,930.67 = 979.56 : x
  2. Step 2: Convert to fraction form
    1,400.52/1,930.67 = 979.56/x
  3. Step 3: Cross multiply
    1,400.52x = 1,930.67 × 979.56
  4. Step 4: Simplify right side
    1,400.52x = 1,891,202.21
  5. Step 5: Solve for x
    x = 1,891,202.21/1,400.52
  6. Step 6: Final answer
    x = 1,350.36

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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.