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Finding the Fourth Proportional to 814.59, 1,124.13 and 441.58

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Solution

The fourth proportional to 814.59, 1,124.13 and 441.58 is: 609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.59 : 1,124.13 = 441.58 : x
  2. Step 2: Convert to fraction form
    814.59/1,124.13 = 441.58/x
  3. Step 3: Cross multiply
    814.59x = 1,124.13 × 441.58
  4. Step 4: Simplify right side
    814.59x = 496,390.52
  5. Step 5: Solve for x
    x = 496,390.52/814.59
  6. Step 6: Final answer
    x = 609.37

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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.