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Finding the Fourth Proportional to 1,179.88, 1,770.63 and 410.38

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Solution

The fourth proportional to 1,179.88, 1,770.63 and 410.38 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.88 : 1,770.63 = 410.38 : x
  2. Step 2: Convert to fraction form
    1,179.88/1,770.63 = 410.38/x
  3. Step 3: Cross multiply
    1,179.88x = 1,770.63 × 410.38
  4. Step 4: Simplify right side
    1,179.88x = 726,620.23
  5. Step 5: Solve for x
    x = 726,620.23/1,179.88
  6. Step 6: Final answer
    x = 615.85

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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.