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Finding the Fourth Proportional to 813.33, 1,122.42 and 459.24

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Solution

The fourth proportional to 813.33, 1,122.42 and 459.24 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.33 : 1,122.42 = 459.24 : x
  2. Step 2: Convert to fraction form
    813.33/1,122.42 = 459.24/x
  3. Step 3: Cross multiply
    813.33x = 1,122.42 × 459.24
  4. Step 4: Simplify right side
    813.33x = 515,457.86
  5. Step 5: Solve for x
    x = 515,457.86/813.33
  6. Step 6: Final answer
    x = 633.77

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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.