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Finding the Fourth Proportional to 855.69, 1,283.31 and 393.24

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Solution

The fourth proportional to 855.69, 1,283.31 and 393.24 is: 589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.69 : 1,283.31 = 393.24 : x
  2. Step 2: Convert to fraction form
    855.69/1,283.31 = 393.24/x
  3. Step 3: Cross multiply
    855.69x = 1,283.31 × 393.24
  4. Step 4: Simplify right side
    855.69x = 504,648.82
  5. Step 5: Solve for x
    x = 504,648.82/855.69
  6. Step 6: Final answer
    x = 589.76

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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.