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Finding the Fourth Proportional to 1,203.97, 1,661.64 and 680.11

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Solution

The fourth proportional to 1,203.97, 1,661.64 and 680.11 is: 938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.97 : 1,661.64 = 680.11 : x
  2. Step 2: Convert to fraction form
    1,203.97/1,661.64 = 680.11/x
  3. Step 3: Cross multiply
    1,203.97x = 1,661.64 × 680.11
  4. Step 4: Simplify right side
    1,203.97x = 1,130,097.98
  5. Step 5: Solve for x
    x = 1,130,097.98/1,203.97
  6. Step 6: Final answer
    x = 938.64

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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.