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Finding the Fourth Proportional to 1,171.69, 1,617.14 and 729.54

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Solution

The fourth proportional to 1,171.69, 1,617.14 and 729.54 is: 1,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.69 : 1,617.14 = 729.54 : x
  2. Step 2: Convert to fraction form
    1,171.69/1,617.14 = 729.54/x
  3. Step 3: Cross multiply
    1,171.69x = 1,617.14 × 729.54
  4. Step 4: Simplify right side
    1,171.69x = 1,179,770.14
  5. Step 5: Solve for x
    x = 1,179,770.14/1,171.69
  6. Step 6: Final answer
    x = 1,006.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.