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Finding the Fourth Proportional to 1,222.45, 1,837.92 and 980.66

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Solution

The fourth proportional to 1,222.45, 1,837.92 and 980.66 is: 1,474.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.45 : 1,837.92 = 980.66 : x
  2. Step 2: Convert to fraction form
    1,222.45/1,837.92 = 980.66/x
  3. Step 3: Cross multiply
    1,222.45x = 1,837.92 × 980.66
  4. Step 4: Simplify right side
    1,222.45x = 1,802,382.90
  5. Step 5: Solve for x
    x = 1,802,382.90/1,222.45
  6. Step 6: Final answer
    x = 1,474.41

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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.