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Finding the Fourth Proportional to 1,180.68, 1,770.64 and 817.80

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Solution

The fourth proportional to 1,180.68, 1,770.64 and 817.80 is: 1,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.68 : 1,770.64 = 817.80 : x
  2. Step 2: Convert to fraction form
    1,180.68/1,770.64 = 817.80/x
  3. Step 3: Cross multiply
    1,180.68x = 1,770.64 × 817.80
  4. Step 4: Simplify right side
    1,180.68x = 1,448,029.39
  5. Step 5: Solve for x
    x = 1,448,029.39/1,180.68
  6. Step 6: Final answer
    x = 1,226.44

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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.