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Finding the Fourth Proportional to 1,033.24, 1,556.97 and 854.65

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Solution

The fourth proportional to 1,033.24, 1,556.97 and 854.65 is: 1,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.24 : 1,556.97 = 854.65 : x
  2. Step 2: Convert to fraction form
    1,033.24/1,556.97 = 854.65/x
  3. Step 3: Cross multiply
    1,033.24x = 1,556.97 × 854.65
  4. Step 4: Simplify right side
    1,033.24x = 1,330,664.41
  5. Step 5: Solve for x
    x = 1,330,664.41/1,033.24
  6. Step 6: Final answer
    x = 1,287.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.