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Finding the Fourth Proportional to 814.01, 1,123.40 and 464.63

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Solution

The fourth proportional to 814.01, 1,123.40 and 464.63 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.01 : 1,123.40 = 464.63 : x
  2. Step 2: Convert to fraction form
    814.01/1,123.40 = 464.63/x
  3. Step 3: Cross multiply
    814.01x = 1,123.40 × 464.63
  4. Step 4: Simplify right side
    814.01x = 521,960.89
  5. Step 5: Solve for x
    x = 521,960.89/814.01
  6. Step 6: Final answer
    x = 641.23

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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.