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Finding the Fourth Proportional to 813.50, 1,122.49 and 459.44

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Solution

The fourth proportional to 813.50, 1,122.49 and 459.44 is: 633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.50 : 1,122.49 = 459.44 : x
  2. Step 2: Convert to fraction form
    813.50/1,122.49 = 459.44/x
  3. Step 3: Cross multiply
    813.50x = 1,122.49 × 459.44
  4. Step 4: Simplify right side
    813.50x = 515,716.81
  5. Step 5: Solve for x
    x = 515,716.81/813.50
  6. Step 6: Final answer
    x = 633.95

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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.