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Finding the Fourth Proportional to 943.21, 1,298.50 and 818.37

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Solution

The fourth proportional to 943.21, 1,298.50 and 818.37 is: 1,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.21 : 1,298.50 = 818.37 : x
  2. Step 2: Convert to fraction form
    943.21/1,298.50 = 818.37/x
  3. Step 3: Cross multiply
    943.21x = 1,298.50 × 818.37
  4. Step 4: Simplify right side
    943.21x = 1,062,651.40
  5. Step 5: Solve for x
    x = 1,062,651.40/943.21
  6. Step 6: Final answer
    x = 1,126.63

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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.