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Finding the Fourth Proportional to 1,204.58, 1,661.82 and 680.51

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Solution

The fourth proportional to 1,204.58, 1,661.82 and 680.51 is: 938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.58 : 1,661.82 = 680.51 : x
  2. Step 2: Convert to fraction form
    1,204.58/1,661.82 = 680.51/x
  3. Step 3: Cross multiply
    1,204.58x = 1,661.82 × 680.51
  4. Step 4: Simplify right side
    1,204.58x = 1,130,885.13
  5. Step 5: Solve for x
    x = 1,130,885.13/1,204.58
  6. Step 6: Final answer
    x = 938.82

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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.