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Finding the Fourth Proportional to 1,284.86, 1,927.56 and 822.44

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Solution

The fourth proportional to 1,284.86, 1,927.56 and 822.44 is: 1,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.86 : 1,927.56 = 822.44 : x
  2. Step 2: Convert to fraction form
    1,284.86/1,927.56 = 822.44/x
  3. Step 3: Cross multiply
    1,284.86x = 1,927.56 × 822.44
  4. Step 4: Simplify right side
    1,284.86x = 1,585,302.45
  5. Step 5: Solve for x
    x = 1,585,302.45/1,284.86
  6. Step 6: Final answer
    x = 1,233.83

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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.