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Finding the Fourth Proportional to 1,192.74, 1,789.83 and 543.48

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Solution

The fourth proportional to 1,192.74, 1,789.83 and 543.48 is: 815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.74 : 1,789.83 = 543.48 : x
  2. Step 2: Convert to fraction form
    1,192.74/1,789.83 = 543.48/x
  3. Step 3: Cross multiply
    1,192.74x = 1,789.83 × 543.48
  4. Step 4: Simplify right side
    1,192.74x = 972,736.81
  5. Step 5: Solve for x
    x = 972,736.81/1,192.74
  6. Step 6: Final answer
    x = 815.55

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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.