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Finding the Fourth Proportional to 814.26, 1,219.93 and 685.07

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Solution

The fourth proportional to 814.26, 1,219.93 and 685.07 is: 1,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.26 : 1,219.93 = 685.07 : x
  2. Step 2: Convert to fraction form
    814.26/1,219.93 = 685.07/x
  3. Step 3: Cross multiply
    814.26x = 1,219.93 × 685.07
  4. Step 4: Simplify right side
    814.26x = 835,734.21
  5. Step 5: Solve for x
    x = 835,734.21/814.26
  6. Step 6: Final answer
    x = 1,026.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.