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Finding the Fourth Proportional to 814.34, 1,227.89 and 746.30

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Solution

The fourth proportional to 814.34, 1,227.89 and 746.30 is: 1,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.34 : 1,227.89 = 746.30 : x
  2. Step 2: Convert to fraction form
    814.34/1,227.89 = 746.30/x
  3. Step 3: Cross multiply
    814.34x = 1,227.89 × 746.30
  4. Step 4: Simplify right side
    814.34x = 916,374.31
  5. Step 5: Solve for x
    x = 916,374.31/814.34
  6. Step 6: Final answer
    x = 1,125.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.