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Finding the Fourth Proportional to 1,204.27, 1,661.82 and 673.11

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Solution

The fourth proportional to 1,204.27, 1,661.82 and 673.11 is: 928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.27 : 1,661.82 = 673.11 : x
  2. Step 2: Convert to fraction form
    1,204.27/1,661.82 = 673.11/x
  3. Step 3: Cross multiply
    1,204.27x = 1,661.82 × 673.11
  4. Step 4: Simplify right side
    1,204.27x = 1,118,585.14
  5. Step 5: Solve for x
    x = 1,118,585.14/1,204.27
  6. Step 6: Final answer
    x = 928.85

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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.