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Finding the Fourth Proportional to 814.23, 1,123.65 and 464.94

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Solution

The fourth proportional to 814.23, 1,123.65 and 464.94 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.23 : 1,123.65 = 464.94 : x
  2. Step 2: Convert to fraction form
    814.23/1,123.65 = 464.94/x
  3. Step 3: Cross multiply
    814.23x = 1,123.65 × 464.94
  4. Step 4: Simplify right side
    814.23x = 522,429.83
  5. Step 5: Solve for x
    x = 522,429.83/814.23
  6. Step 6: Final answer
    x = 641.62

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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.