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Finding the Fourth Proportional to 1,180.06, 1,770.23 and 449.84

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Solution

The fourth proportional to 1,180.06, 1,770.23 and 449.84 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.06 : 1,770.23 = 449.84 : x
  2. Step 2: Convert to fraction form
    1,180.06/1,770.23 = 449.84/x
  3. Step 3: Cross multiply
    1,180.06x = 1,770.23 × 449.84
  4. Step 4: Simplify right side
    1,180.06x = 796,325.81
  5. Step 5: Solve for x
    x = 796,325.81/1,180.06
  6. Step 6: Final answer
    x = 674.82

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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.