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Finding the Fourth Proportional to 814.35, 1,123.79 and 460.29

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Solution

The fourth proportional to 814.35, 1,123.79 and 460.29 is: 635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.35 : 1,123.79 = 460.29 : x
  2. Step 2: Convert to fraction form
    814.35/1,123.79 = 460.29/x
  3. Step 3: Cross multiply
    814.35x = 1,123.79 × 460.29
  4. Step 4: Simplify right side
    814.35x = 517,269.30
  5. Step 5: Solve for x
    x = 517,269.30/814.35
  6. Step 6: Final answer
    x = 635.19

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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.