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Finding the Fourth Proportional to 1,114.02, 1,672.65 and 822.42

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Solution

The fourth proportional to 1,114.02, 1,672.65 and 822.42 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.02 : 1,672.65 = 822.42 : x
  2. Step 2: Convert to fraction form
    1,114.02/1,672.65 = 822.42/x
  3. Step 3: Cross multiply
    1,114.02x = 1,672.65 × 822.42
  4. Step 4: Simplify right side
    1,114.02x = 1,375,620.81
  5. Step 5: Solve for x
    x = 1,375,620.81/1,114.02
  6. Step 6: Final answer
    x = 1,234.83

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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.