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Finding the Fourth Proportional to 814.52, 1,124.04 and 441.48

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Solution

The fourth proportional to 814.52, 1,124.04 and 441.48 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.52 : 1,124.04 = 441.48 : x
  2. Step 2: Convert to fraction form
    814.52/1,124.04 = 441.48/x
  3. Step 3: Cross multiply
    814.52x = 1,124.04 × 441.48
  4. Step 4: Simplify right side
    814.52x = 496,241.18
  5. Step 5: Solve for x
    x = 496,241.18/814.52
  6. Step 6: Final answer
    x = 609.24

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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.