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Finding the Fourth Proportional to 800.23, 1,104.64 and 687.75

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Solution

The fourth proportional to 800.23, 1,104.64 and 687.75 is: 949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.23 : 1,104.64 = 687.75 : x
  2. Step 2: Convert to fraction form
    800.23/1,104.64 = 687.75/x
  3. Step 3: Cross multiply
    800.23x = 1,104.64 × 687.75
  4. Step 4: Simplify right side
    800.23x = 759,715.48
  5. Step 5: Solve for x
    x = 759,715.48/800.23
  6. Step 6: Final answer
    x = 949.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.