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Finding the Fourth Proportional to 1,109.23, 1,530.78 and 611.89

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Solution

The fourth proportional to 1,109.23, 1,530.78 and 611.89 is: 844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.23 : 1,530.78 = 611.89 : x
  2. Step 2: Convert to fraction form
    1,109.23/1,530.78 = 611.89/x
  3. Step 3: Cross multiply
    1,109.23x = 1,530.78 × 611.89
  4. Step 4: Simplify right side
    1,109.23x = 936,668.97
  5. Step 5: Solve for x
    x = 936,668.97/1,109.23
  6. Step 6: Final answer
    x = 844.43

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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.