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Finding the Fourth Proportional to 1,203.97, 1,661.51 and 680.00

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Solution

The fourth proportional to 1,203.97, 1,661.51 and 680.00 is: 938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.97 : 1,661.51 = 680.00 : x
  2. Step 2: Convert to fraction form
    1,203.97/1,661.51 = 680.00/x
  3. Step 3: Cross multiply
    1,203.97x = 1,661.51 × 680.00
  4. Step 4: Simplify right side
    1,203.97x = 1,129,828.26
  5. Step 5: Solve for x
    x = 1,129,828.26/1,203.97
  6. Step 6: Final answer
    x = 938.42

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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.