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Finding the Fourth Proportional to 827.04, 1,141.24 and 459.04

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Solution

The fourth proportional to 827.04, 1,141.24 and 459.04 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,141.24 = 459.04 : x
  2. Step 2: Convert to fraction form
    827.04/1,141.24 = 459.04/x
  3. Step 3: Cross multiply
    827.04x = 1,141.24 × 459.04
  4. Step 4: Simplify right side
    827.04x = 523,874.81
  5. Step 5: Solve for x
    x = 523,874.81/827.04
  6. Step 6: Final answer
    x = 633.43

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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.