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Finding the Fourth Proportional to 822.36, 1,134.87 and 449.37

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Solution

The fourth proportional to 822.36, 1,134.87 and 449.37 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.36 : 1,134.87 = 449.37 : x
  2. Step 2: Convert to fraction form
    822.36/1,134.87 = 449.37/x
  3. Step 3: Cross multiply
    822.36x = 1,134.87 × 449.37
  4. Step 4: Simplify right side
    822.36x = 509,976.53
  5. Step 5: Solve for x
    x = 509,976.53/822.36
  6. Step 6: Final answer
    x = 620.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.