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Finding the Fourth Proportional to 873.63, 1,310.44 and 822.90

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Solution

The fourth proportional to 873.63, 1,310.44 and 822.90 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.63 : 1,310.44 = 822.90 : x
  2. Step 2: Convert to fraction form
    873.63/1,310.44 = 822.90/x
  3. Step 3: Cross multiply
    873.63x = 1,310.44 × 822.90
  4. Step 4: Simplify right side
    873.63x = 1,078,359.02
  5. Step 5: Solve for x
    x = 1,078,359.02/873.63
  6. Step 6: Final answer
    x = 1,234.34

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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.