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Finding the Fourth Proportional to 1,180.44, 1,770.48 and 486.90

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Solution

The fourth proportional to 1,180.44, 1,770.48 and 486.90 is: 730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.44 : 1,770.48 = 486.90 : x
  2. Step 2: Convert to fraction form
    1,180.44/1,770.48 = 486.90/x
  3. Step 3: Cross multiply
    1,180.44x = 1,770.48 × 486.90
  4. Step 4: Simplify right side
    1,180.44x = 862,046.71
  5. Step 5: Solve for x
    x = 862,046.71/1,180.44
  6. Step 6: Final answer
    x = 730.28

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