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Finding the Fourth Proportional to 1,180.33, 1,770.80 and 449.51

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Solution

The fourth proportional to 1,180.33, 1,770.80 and 449.51 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.33 : 1,770.80 = 449.51 : x
  2. Step 2: Convert to fraction form
    1,180.33/1,770.80 = 449.51/x
  3. Step 3: Cross multiply
    1,180.33x = 1,770.80 × 449.51
  4. Step 4: Simplify right side
    1,180.33x = 795,981.21
  5. Step 5: Solve for x
    x = 795,981.21/1,180.33
  6. Step 6: Final answer
    x = 674.37

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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.