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Finding the Fourth Proportional to 1,191.05, 1,794.71 and 979.37

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Solution

The fourth proportional to 1,191.05, 1,794.71 and 979.37 is: 1,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.05 : 1,794.71 = 979.37 : x
  2. Step 2: Convert to fraction form
    1,191.05/1,794.71 = 979.37/x
  3. Step 3: Cross multiply
    1,191.05x = 1,794.71 × 979.37
  4. Step 4: Simplify right side
    1,191.05x = 1,757,685.13
  5. Step 5: Solve for x
    x = 1,757,685.13/1,191.05
  6. Step 6: Final answer
    x = 1,475.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.