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Finding the Fourth Proportional to 842.78, 1,262.30 and 822.12

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Solution

The fourth proportional to 842.78, 1,262.30 and 822.12 is: 1,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.78 : 1,262.30 = 822.12 : x
  2. Step 2: Convert to fraction form
    842.78/1,262.30 = 822.12/x
  3. Step 3: Cross multiply
    842.78x = 1,262.30 × 822.12
  4. Step 4: Simplify right side
    842.78x = 1,037,762.08
  5. Step 5: Solve for x
    x = 1,037,762.08/842.78
  6. Step 6: Final answer
    x = 1,231.36

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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.