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Finding the Fourth Proportional to 1,171.27, 1,756.90 and 804.95

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Solution

The fourth proportional to 1,171.27, 1,756.90 and 804.95 is: 1,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.27 : 1,756.90 = 804.95 : x
  2. Step 2: Convert to fraction form
    1,171.27/1,756.90 = 804.95/x
  3. Step 3: Cross multiply
    1,171.27x = 1,756.90 × 804.95
  4. Step 4: Simplify right side
    1,171.27x = 1,414,207.87
  5. Step 5: Solve for x
    x = 1,414,207.87/1,171.27
  6. Step 6: Final answer
    x = 1,207.42

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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.