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Finding the Fourth Proportional to 814.40, 1,123.84 and 460.29

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Solution

The fourth proportional to 814.40, 1,123.84 and 460.29 is: 635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.40 : 1,123.84 = 460.29 : x
  2. Step 2: Convert to fraction form
    814.40/1,123.84 = 460.29/x
  3. Step 3: Cross multiply
    814.40x = 1,123.84 × 460.29
  4. Step 4: Simplify right side
    814.40x = 517,292.31
  5. Step 5: Solve for x
    x = 517,292.31/814.40
  6. Step 6: Final answer
    x = 635.18

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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.