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Finding the Fourth Proportional to 811.37, 1,119.26 and 516.12

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Solution

The fourth proportional to 811.37, 1,119.26 and 516.12 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.37 : 1,119.26 = 516.12 : x
  2. Step 2: Convert to fraction form
    811.37/1,119.26 = 516.12/x
  3. Step 3: Cross multiply
    811.37x = 1,119.26 × 516.12
  4. Step 4: Simplify right side
    811.37x = 577,673.76
  5. Step 5: Solve for x
    x = 577,673.76/811.37
  6. Step 6: Final answer
    x = 711.98

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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.