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Finding the Fourth Proportional to 1,442.89, 1,991.02 and 813.37

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Solution

The fourth proportional to 1,442.89, 1,991.02 and 813.37 is: 1,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.89 : 1,991.02 = 813.37 : x
  2. Step 2: Convert to fraction form
    1,442.89/1,991.02 = 813.37/x
  3. Step 3: Cross multiply
    1,442.89x = 1,991.02 × 813.37
  4. Step 4: Simplify right side
    1,442.89x = 1,619,435.94
  5. Step 5: Solve for x
    x = 1,619,435.94/1,442.89
  6. Step 6: Final answer
    x = 1,122.36

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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.