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Finding the Fourth Proportional to 1,332.41, 1,996.23 and 812.14

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Solution

The fourth proportional to 1,332.41, 1,996.23 and 812.14 is: 1,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.41 : 1,996.23 = 812.14 : x
  2. Step 2: Convert to fraction form
    1,332.41/1,996.23 = 812.14/x
  3. Step 3: Cross multiply
    1,332.41x = 1,996.23 × 812.14
  4. Step 4: Simplify right side
    1,332.41x = 1,621,217.95
  5. Step 5: Solve for x
    x = 1,621,217.95/1,332.41
  6. Step 6: Final answer
    x = 1,216.75

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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.