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Finding the Fourth Proportional to 799.99, 1,094.50 and 796.53

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Solution

The fourth proportional to 799.99, 1,094.50 and 796.53 is: 1,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.99 : 1,094.50 = 796.53 : x
  2. Step 2: Convert to fraction form
    799.99/1,094.50 = 796.53/x
  3. Step 3: Cross multiply
    799.99x = 1,094.50 × 796.53
  4. Step 4: Simplify right side
    799.99x = 871,802.70
  5. Step 5: Solve for x
    x = 871,802.70/799.99
  6. Step 6: Final answer
    x = 1,089.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.