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Finding the Fourth Proportional to 1,253.04, 1,879.40 and 789.36

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Solution

The fourth proportional to 1,253.04, 1,879.40 and 789.36 is: 1,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.04 : 1,879.40 = 789.36 : x
  2. Step 2: Convert to fraction form
    1,253.04/1,879.40 = 789.36/x
  3. Step 3: Cross multiply
    1,253.04x = 1,879.40 × 789.36
  4. Step 4: Simplify right side
    1,253.04x = 1,483,523.18
  5. Step 5: Solve for x
    x = 1,483,523.18/1,253.04
  6. Step 6: Final answer
    x = 1,183.94

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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.