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Finding the Fourth Proportional to 813.86, 1,123.20 and 464.66

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Solution

The fourth proportional to 813.86, 1,123.20 and 464.66 is: 641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.86 : 1,123.20 = 464.66 : x
  2. Step 2: Convert to fraction form
    813.86/1,123.20 = 464.66/x
  3. Step 3: Cross multiply
    813.86x = 1,123.20 × 464.66
  4. Step 4: Simplify right side
    813.86x = 521,906.11
  5. Step 5: Solve for x
    x = 521,906.11/813.86
  6. Step 6: Final answer
    x = 641.27

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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.