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Finding the Fourth Proportional to 1,311.39, 1,967.04 and 445.71

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Solution

The fourth proportional to 1,311.39, 1,967.04 and 445.71 is: 668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.39 : 1,967.04 = 445.71 : x
  2. Step 2: Convert to fraction form
    1,311.39/1,967.04 = 445.71/x
  3. Step 3: Cross multiply
    1,311.39x = 1,967.04 × 445.71
  4. Step 4: Simplify right side
    1,311.39x = 876,729.40
  5. Step 5: Solve for x
    x = 876,729.40/1,311.39
  6. Step 6: Final answer
    x = 668.55

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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.