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Finding the Fourth Proportional to 1,412.33, 1,949.13 and 822.85

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Solution

The fourth proportional to 1,412.33, 1,949.13 and 822.85 is: 1,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.33 : 1,949.13 = 822.85 : x
  2. Step 2: Convert to fraction form
    1,412.33/1,949.13 = 822.85/x
  3. Step 3: Cross multiply
    1,412.33x = 1,949.13 × 822.85
  4. Step 4: Simplify right side
    1,412.33x = 1,603,836.75
  5. Step 5: Solve for x
    x = 1,603,836.75/1,412.33
  6. Step 6: Final answer
    x = 1,135.60

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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.