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Finding the Fourth Proportional to 1,204.10, 1,661.76 and 680.12

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Solution

The fourth proportional to 1,204.10, 1,661.76 and 680.12 is: 938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.10 : 1,661.76 = 680.12 : x
  2. Step 2: Convert to fraction form
    1,204.10/1,661.76 = 680.12/x
  3. Step 3: Cross multiply
    1,204.10x = 1,661.76 × 680.12
  4. Step 4: Simplify right side
    1,204.10x = 1,130,196.21
  5. Step 5: Solve for x
    x = 1,130,196.21/1,204.10
  6. Step 6: Final answer
    x = 938.62

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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.