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Finding the Fourth Proportional to 1,026.28, 1,418.34 and 818.92

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Solution

The fourth proportional to 1,026.28, 1,418.34 and 818.92 is: 1,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,418.34 = 818.92 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,418.34 = 818.92/x
  3. Step 3: Cross multiply
    1,026.28x = 1,418.34 × 818.92
  4. Step 4: Simplify right side
    1,026.28x = 1,161,506.99
  5. Step 5: Solve for x
    x = 1,161,506.99/1,026.28
  6. Step 6: Final answer
    x = 1,131.76

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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.