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Finding the Fourth Proportional to 794.02, 1,189.41 and 551.02

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Solution

The fourth proportional to 794.02, 1,189.41 and 551.02 is: 825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.02 : 1,189.41 = 551.02 : x
  2. Step 2: Convert to fraction form
    794.02/1,189.41 = 551.02/x
  3. Step 3: Cross multiply
    794.02x = 1,189.41 × 551.02
  4. Step 4: Simplify right side
    794.02x = 655,388.70
  5. Step 5: Solve for x
    x = 655,388.70/794.02
  6. Step 6: Final answer
    x = 825.41

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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.