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Finding the Fourth Proportional to 813.75, 1,122.93 and 459.68

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Solution

The fourth proportional to 813.75, 1,122.93 and 459.68 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,122.93 = 459.68 : x
  2. Step 2: Convert to fraction form
    813.75/1,122.93 = 459.68/x
  3. Step 3: Cross multiply
    813.75x = 1,122.93 × 459.68
  4. Step 4: Simplify right side
    813.75x = 516,188.46
  5. Step 5: Solve for x
    x = 516,188.46/813.75
  6. Step 6: Final answer
    x = 634.33

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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.