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Finding the Fourth Proportional to 905.23, 1,356.48 and 813.43

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Solution

The fourth proportional to 905.23, 1,356.48 and 813.43 is: 1,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,356.48 = 813.43 : x
  2. Step 2: Convert to fraction form
    905.23/1,356.48 = 813.43/x
  3. Step 3: Cross multiply
    905.23x = 1,356.48 × 813.43
  4. Step 4: Simplify right side
    905.23x = 1,103,401.53
  5. Step 5: Solve for x
    x = 1,103,401.53/905.23
  6. Step 6: Final answer
    x = 1,218.92

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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.