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Finding the Fourth Proportional to 813.55, 1,122.68 and 459.49

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Solution

The fourth proportional to 813.55, 1,122.68 and 459.49 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.55 : 1,122.68 = 459.49 : x
  2. Step 2: Convert to fraction form
    813.55/1,122.68 = 459.49/x
  3. Step 3: Cross multiply
    813.55x = 1,122.68 × 459.49
  4. Step 4: Simplify right side
    813.55x = 515,855.13
  5. Step 5: Solve for x
    x = 515,855.13/813.55
  6. Step 6: Final answer
    x = 634.08

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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.