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Finding the Fourth Proportional to 1,180.22, 1,770.56 and 660.81

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Solution

The fourth proportional to 1,180.22, 1,770.56 and 660.81 is: 991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.22 : 1,770.56 = 660.81 : x
  2. Step 2: Convert to fraction form
    1,180.22/1,770.56 = 660.81/x
  3. Step 3: Cross multiply
    1,180.22x = 1,770.56 × 660.81
  4. Step 4: Simplify right side
    1,180.22x = 1,169,999.61
  5. Step 5: Solve for x
    x = 1,169,999.61/1,180.22
  6. Step 6: Final answer
    x = 991.34

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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.