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Finding the Fourth Proportional to 814.73, 1,216.38 and 704.90

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Solution

The fourth proportional to 814.73, 1,216.38 and 704.90 is: 1,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.73 : 1,216.38 = 704.90 : x
  2. Step 2: Convert to fraction form
    814.73/1,216.38 = 704.90/x
  3. Step 3: Cross multiply
    814.73x = 1,216.38 × 704.90
  4. Step 4: Simplify right side
    814.73x = 857,420.18
  5. Step 5: Solve for x
    x = 857,420.18/814.73
  6. Step 6: Final answer
    x = 1,052.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.