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Finding the Fourth Proportional to 1,203.92, 1,661.40 and 679.95

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Solution

The fourth proportional to 1,203.92, 1,661.40 and 679.95 is: 938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.92 : 1,661.40 = 679.95 : x
  2. Step 2: Convert to fraction form
    1,203.92/1,661.40 = 679.95/x
  3. Step 3: Cross multiply
    1,203.92x = 1,661.40 × 679.95
  4. Step 4: Simplify right side
    1,203.92x = 1,129,668.93
  5. Step 5: Solve for x
    x = 1,129,668.93/1,203.92
  6. Step 6: Final answer
    x = 938.33

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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.