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Finding the Fourth Proportional to 793.03, 1,189.40 and 306.08

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Solution

The fourth proportional to 793.03, 1,189.40 and 306.08 is: 459.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.03 : 1,189.40 = 306.08 : x
  2. Step 2: Convert to fraction form
    793.03/1,189.40 = 306.08/x
  3. Step 3: Cross multiply
    793.03x = 1,189.40 × 306.08
  4. Step 4: Simplify right side
    793.03x = 364,055.29
  5. Step 5: Solve for x
    x = 364,055.29/793.03
  6. Step 6: Final answer
    x = 459.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.