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Finding the Fourth Proportional to 813.87, 1,123.16 and 459.86

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Solution

The fourth proportional to 813.87, 1,123.16 and 459.86 is: 634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.87 : 1,123.16 = 459.86 : x
  2. Step 2: Convert to fraction form
    813.87/1,123.16 = 459.86/x
  3. Step 3: Cross multiply
    813.87x = 1,123.16 × 459.86
  4. Step 4: Simplify right side
    813.87x = 516,496.36
  5. Step 5: Solve for x
    x = 516,496.36/813.87
  6. Step 6: Final answer
    x = 634.62

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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.