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Finding the Fourth Proportional to 1,204.27, 1,805.61 and 618.16

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Solution

The fourth proportional to 1,204.27, 1,805.61 and 618.16 is: 926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.27 : 1,805.61 = 618.16 : x
  2. Step 2: Convert to fraction form
    1,204.27/1,805.61 = 618.16/x
  3. Step 3: Cross multiply
    1,204.27x = 1,805.61 × 618.16
  4. Step 4: Simplify right side
    1,204.27x = 1,116,146.85
  5. Step 5: Solve for x
    x = 1,116,146.85/1,204.27
  6. Step 6: Final answer
    x = 926.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.