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Finding the Fourth Proportional to 789.80, 1,184.28 and 543.38

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Solution

The fourth proportional to 789.80, 1,184.28 and 543.38 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,184.28 = 543.38 : x
  2. Step 2: Convert to fraction form
    789.80/1,184.28 = 543.38/x
  3. Step 3: Cross multiply
    789.80x = 1,184.28 × 543.38
  4. Step 4: Simplify right side
    789.80x = 643,514.07
  5. Step 5: Solve for x
    x = 643,514.07/789.80
  6. Step 6: Final answer
    x = 814.78

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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.