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Finding the Fourth Proportional to 811.08, 1,119.24 and 461.79

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Solution

The fourth proportional to 811.08, 1,119.24 and 461.79 is: 637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,119.24 = 461.79 : x
  2. Step 2: Convert to fraction form
    811.08/1,119.24 = 461.79/x
  3. Step 3: Cross multiply
    811.08x = 1,119.24 × 461.79
  4. Step 4: Simplify right side
    811.08x = 516,853.84
  5. Step 5: Solve for x
    x = 516,853.84/811.08
  6. Step 6: Final answer
    x = 637.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.