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Finding the Fourth Proportional to 793.18, 1,189.97 and 306.10

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Solution

The fourth proportional to 793.18, 1,189.97 and 306.10 is: 459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.18 : 1,189.97 = 306.10 : x
  2. Step 2: Convert to fraction form
    793.18/1,189.97 = 306.10/x
  3. Step 3: Cross multiply
    793.18x = 1,189.97 × 306.10
  4. Step 4: Simplify right side
    793.18x = 364,242.34
  5. Step 5: Solve for x
    x = 364,242.34/793.18
  6. Step 6: Final answer
    x = 459.22

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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.