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Finding the Fourth Proportional to 1,201.65, 1,657.89 and 980.22

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Solution

The fourth proportional to 1,201.65, 1,657.89 and 980.22 is: 1,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.65 : 1,657.89 = 980.22 : x
  2. Step 2: Convert to fraction form
    1,201.65/1,657.89 = 980.22/x
  3. Step 3: Cross multiply
    1,201.65x = 1,657.89 × 980.22
  4. Step 4: Simplify right side
    1,201.65x = 1,625,096.94
  5. Step 5: Solve for x
    x = 1,625,096.94/1,201.65
  6. Step 6: Final answer
    x = 1,352.39

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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.