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Finding the Fourth Proportional to 1,195.67, 1,794.05 and 579.94

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Solution

The fourth proportional to 1,195.67, 1,794.05 and 579.94 is: 870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.67 : 1,794.05 = 579.94 : x
  2. Step 2: Convert to fraction form
    1,195.67/1,794.05 = 579.94/x
  3. Step 3: Cross multiply
    1,195.67x = 1,794.05 × 579.94
  4. Step 4: Simplify right side
    1,195.67x = 1,040,441.36
  5. Step 5: Solve for x
    x = 1,040,441.36/1,195.67
  6. Step 6: Final answer
    x = 870.17

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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.