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Finding the Fourth Proportional to 1,208.85, 1,668.03 and 736.50

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Solution

The fourth proportional to 1,208.85, 1,668.03 and 736.50 is: 1,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.85 : 1,668.03 = 736.50 : x
  2. Step 2: Convert to fraction form
    1,208.85/1,668.03 = 736.50/x
  3. Step 3: Cross multiply
    1,208.85x = 1,668.03 × 736.50
  4. Step 4: Simplify right side
    1,208.85x = 1,228,504.10
  5. Step 5: Solve for x
    x = 1,228,504.10/1,208.85
  6. Step 6: Final answer
    x = 1,016.26

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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.