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Finding the Fourth Proportional to 793.04, 1,189.15 and 464.09

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Solution

The fourth proportional to 793.04, 1,189.15 and 464.09 is: 695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.04 : 1,189.15 = 464.09 : x
  2. Step 2: Convert to fraction form
    793.04/1,189.15 = 464.09/x
  3. Step 3: Cross multiply
    793.04x = 1,189.15 × 464.09
  4. Step 4: Simplify right side
    793.04x = 551,872.62
  5. Step 5: Solve for x
    x = 551,872.62/793.04
  6. Step 6: Final answer
    x = 695.90

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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.