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Finding the Fourth Proportional to 811.14, 1,119.36 and 461.82

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Solution

The fourth proportional to 811.14, 1,119.36 and 461.82 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.14 : 1,119.36 = 461.82 : x
  2. Step 2: Convert to fraction form
    811.14/1,119.36 = 461.82/x
  3. Step 3: Cross multiply
    811.14x = 1,119.36 × 461.82
  4. Step 4: Simplify right side
    811.14x = 516,942.84
  5. Step 5: Solve for x
    x = 516,942.84/811.14
  6. Step 6: Final answer
    x = 637.30

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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.