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Finding the Fourth Proportional to 814.92, 1,223.09 and 686.33

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Solution

The fourth proportional to 814.92, 1,223.09 and 686.33 is: 1,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.92 : 1,223.09 = 686.33 : x
  2. Step 2: Convert to fraction form
    814.92/1,223.09 = 686.33/x
  3. Step 3: Cross multiply
    814.92x = 1,223.09 × 686.33
  4. Step 4: Simplify right side
    814.92x = 839,445.56
  5. Step 5: Solve for x
    x = 839,445.56/814.92
  6. Step 6: Final answer
    x = 1,030.10

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