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Finding the Fourth Proportional to 811, 1,119.24 and 456.97

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Solution

The fourth proportional to 811, 1,119.24 and 456.97 is: 630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 1,119.24 = 456.97 : x
  2. Step 2: Convert to fraction form
    811/1,119.24 = 456.97/x
  3. Step 3: Cross multiply
    811x = 1,119.24 × 456.97
  4. Step 4: Simplify right side
    811x = 511,459.10
  5. Step 5: Solve for x
    x = 511,459.10/811
  6. Step 6: Final answer
    x = 630.65

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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.