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Finding the Fourth Proportional to 822.27, 1,233.41 and 459.37

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Solution

The fourth proportional to 822.27, 1,233.41 and 459.37 is: 689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.27 : 1,233.41 = 459.37 : x
  2. Step 2: Convert to fraction form
    822.27/1,233.41 = 459.37/x
  3. Step 3: Cross multiply
    822.27x = 1,233.41 × 459.37
  4. Step 4: Simplify right side
    822.27x = 566,585.38
  5. Step 5: Solve for x
    x = 566,585.38/822.27
  6. Step 6: Final answer
    x = 689.05

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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.