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Finding the Fourth Proportional to 789.52, 1,183.80 and 302.05

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Solution

The fourth proportional to 789.52, 1,183.80 and 302.05 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.52 : 1,183.80 = 302.05 : x
  2. Step 2: Convert to fraction form
    789.52/1,183.80 = 302.05/x
  3. Step 3: Cross multiply
    789.52x = 1,183.80 × 302.05
  4. Step 4: Simplify right side
    789.52x = 357,566.79
  5. Step 5: Solve for x
    x = 357,566.79/789.52
  6. Step 6: Final answer
    x = 452.89

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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.