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Finding the Fourth Proportional to 1,192.80, 1,789.68 and 543.84

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Solution

The fourth proportional to 1,192.80, 1,789.68 and 543.84 is: 815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.80 : 1,789.68 = 543.84 : x
  2. Step 2: Convert to fraction form
    1,192.80/1,789.68 = 543.84/x
  3. Step 3: Cross multiply
    1,192.80x = 1,789.68 × 543.84
  4. Step 4: Simplify right side
    1,192.80x = 973,299.57
  5. Step 5: Solve for x
    x = 973,299.57/1,192.80
  6. Step 6: Final answer
    x = 815.98

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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.