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Finding the Fourth Proportional to 1,230.82, 1,698.56 and 733.52

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Solution

The fourth proportional to 1,230.82, 1,698.56 and 733.52 is: 1,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.82 : 1,698.56 = 733.52 : x
  2. Step 2: Convert to fraction form
    1,230.82/1,698.56 = 733.52/x
  3. Step 3: Cross multiply
    1,230.82x = 1,698.56 × 733.52
  4. Step 4: Simplify right side
    1,230.82x = 1,245,927.73
  5. Step 5: Solve for x
    x = 1,245,927.73/1,230.82
  6. Step 6: Final answer
    x = 1,012.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.