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Finding the Fourth Proportional to 814.99, 1,124.68 and 441.97

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Solution

The fourth proportional to 814.99, 1,124.68 and 441.97 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.99 : 1,124.68 = 441.97 : x
  2. Step 2: Convert to fraction form
    814.99/1,124.68 = 441.97/x
  3. Step 3: Cross multiply
    814.99x = 1,124.68 × 441.97
  4. Step 4: Simplify right side
    814.99x = 497,074.82
  5. Step 5: Solve for x
    x = 497,074.82/814.99
  6. Step 6: Final answer
    x = 609.92

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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.