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Finding the Fourth Proportional to 813.25, 1,122.30 and 459.24

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Solution

The fourth proportional to 813.25, 1,122.30 and 459.24 is: 633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.25 : 1,122.30 = 459.24 : x
  2. Step 2: Convert to fraction form
    813.25/1,122.30 = 459.24/x
  3. Step 3: Cross multiply
    813.25x = 1,122.30 × 459.24
  4. Step 4: Simplify right side
    813.25x = 515,402.76
  5. Step 5: Solve for x
    x = 515,402.76/813.25
  6. Step 6: Final answer
    x = 633.76

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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.