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Finding the Fourth Proportional to 1,208.94, 1,668.65 and 743.58

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Solution

The fourth proportional to 1,208.94, 1,668.65 and 743.58 is: 1,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.94 : 1,668.65 = 743.58 : x
  2. Step 2: Convert to fraction form
    1,208.94/1,668.65 = 743.58/x
  3. Step 3: Cross multiply
    1,208.94x = 1,668.65 × 743.58
  4. Step 4: Simplify right side
    1,208.94x = 1,240,774.77
  5. Step 5: Solve for x
    x = 1,240,774.77/1,208.94
  6. Step 6: Final answer
    x = 1,026.33

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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.