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Finding the Fourth Proportional to 1,180.33, 1,770.39 and 486.83

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Solution

The fourth proportional to 1,180.33, 1,770.39 and 486.83 is: 730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.33 : 1,770.39 = 486.83 : x
  2. Step 2: Convert to fraction form
    1,180.33/1,770.39 = 486.83/x
  3. Step 3: Cross multiply
    1,180.33x = 1,770.39 × 486.83
  4. Step 4: Simplify right side
    1,180.33x = 861,870.11
  5. Step 5: Solve for x
    x = 861,870.11/1,180.33
  6. Step 6: Final answer
    x = 730.20

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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.