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Finding the Fourth Proportional to 814.46, 1,123.80 and 465.14

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Solution

The fourth proportional to 814.46, 1,123.80 and 465.14 is: 641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.46 : 1,123.80 = 465.14 : x
  2. Step 2: Convert to fraction form
    814.46/1,123.80 = 465.14/x
  3. Step 3: Cross multiply
    814.46x = 1,123.80 × 465.14
  4. Step 4: Simplify right side
    814.46x = 522,724.33
  5. Step 5: Solve for x
    x = 522,724.33/814.46
  6. Step 6: Final answer
    x = 641.80

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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.