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Finding the Fourth Proportional to 814.41, 1,123.83 and 460.33

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Solution

The fourth proportional to 814.41, 1,123.83 and 460.33 is: 635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.41 : 1,123.83 = 460.33 : x
  2. Step 2: Convert to fraction form
    814.41/1,123.83 = 460.33/x
  3. Step 3: Cross multiply
    814.41x = 1,123.83 × 460.33
  4. Step 4: Simplify right side
    814.41x = 517,329.85
  5. Step 5: Solve for x
    x = 517,329.85/814.41
  6. Step 6: Final answer
    x = 635.22

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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.