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Finding the Fourth Proportional to 1,412.36, 1,949.06 and 822.94

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Solution

The fourth proportional to 1,412.36, 1,949.06 and 822.94 is: 1,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.36 : 1,949.06 = 822.94 : x
  2. Step 2: Convert to fraction form
    1,412.36/1,949.06 = 822.94/x
  3. Step 3: Cross multiply
    1,412.36x = 1,949.06 × 822.94
  4. Step 4: Simplify right side
    1,412.36x = 1,603,959.44
  5. Step 5: Solve for x
    x = 1,603,959.44/1,412.36
  6. Step 6: Final answer
    x = 1,135.66

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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.