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Finding the Fourth Proportional to 1,180.64, 1,770.42 and 439.73

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Solution

The fourth proportional to 1,180.64, 1,770.42 and 439.73 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.64 : 1,770.42 = 439.73 : x
  2. Step 2: Convert to fraction form
    1,180.64/1,770.42 = 439.73/x
  3. Step 3: Cross multiply
    1,180.64x = 1,770.42 × 439.73
  4. Step 4: Simplify right side
    1,180.64x = 778,506.22
  5. Step 5: Solve for x
    x = 778,506.22/1,180.64
  6. Step 6: Final answer
    x = 659.39

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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.