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Finding the Fourth Proportional to 1,202.22, 1,657.70 and 980.49

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Solution

The fourth proportional to 1,202.22, 1,657.70 and 980.49 is: 1,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.22 : 1,657.70 = 980.49 : x
  2. Step 2: Convert to fraction form
    1,202.22/1,657.70 = 980.49/x
  3. Step 3: Cross multiply
    1,202.22x = 1,657.70 × 980.49
  4. Step 4: Simplify right side
    1,202.22x = 1,625,358.27
  5. Step 5: Solve for x
    x = 1,625,358.27/1,202.22
  6. Step 6: Final answer
    x = 1,351.96

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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.