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Finding the Fourth Proportional to 1,369.86, 2,054.49 and 822.20

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Solution

The fourth proportional to 1,369.86, 2,054.49 and 822.20 is: 1,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.86 : 2,054.49 = 822.20 : x
  2. Step 2: Convert to fraction form
    1,369.86/2,054.49 = 822.20/x
  3. Step 3: Cross multiply
    1,369.86x = 2,054.49 × 822.20
  4. Step 4: Simplify right side
    1,369.86x = 1,689,192.43
  5. Step 5: Solve for x
    x = 1,689,192.43/1,369.86
  6. Step 6: Final answer
    x = 1,233.11

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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.