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Finding the Fourth Proportional to 1,209.32, 1,668.86 and 743.56

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Solution

The fourth proportional to 1,209.32, 1,668.86 and 743.56 is: 1,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.32 : 1,668.86 = 743.56 : x
  2. Step 2: Convert to fraction form
    1,209.32/1,668.86 = 743.56/x
  3. Step 3: Cross multiply
    1,209.32x = 1,668.86 × 743.56
  4. Step 4: Simplify right side
    1,209.32x = 1,240,897.54
  5. Step 5: Solve for x
    x = 1,240,897.54/1,209.32
  6. Step 6: Final answer
    x = 1,026.11

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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.