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Finding the Fourth Proportional to 1,412.38, 1,949.26 and 822.92

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Solution

The fourth proportional to 1,412.38, 1,949.26 and 822.92 is: 1,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.38 : 1,949.26 = 822.92 : x
  2. Step 2: Convert to fraction form
    1,412.38/1,949.26 = 822.92/x
  3. Step 3: Cross multiply
    1,412.38x = 1,949.26 × 822.92
  4. Step 4: Simplify right side
    1,412.38x = 1,604,085.04
  5. Step 5: Solve for x
    x = 1,604,085.04/1,412.38
  6. Step 6: Final answer
    x = 1,135.73

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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.