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Finding the Fourth Proportional to 1,180.50, 1,770.50 and 1,121.95

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Solution

The fourth proportional to 1,180.50, 1,770.50 and 1,121.95 is: 1,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.50 : 1,770.50 = 1,121.95 : x
  2. Step 2: Convert to fraction form
    1,180.50/1,770.50 = 1,121.95/x
  3. Step 3: Cross multiply
    1,180.50x = 1,770.50 × 1,121.95
  4. Step 4: Simplify right side
    1,180.50x = 1,986,415.28
  5. Step 5: Solve for x
    x = 1,986,415.28/1,180.50
  6. Step 6: Final answer
    x = 1,682.70

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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.