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Finding the Fourth Proportional to 811.91, 1,119.11 and 516.66

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Solution

The fourth proportional to 811.91, 1,119.11 and 516.66 is: 712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.91 : 1,119.11 = 516.66 : x
  2. Step 2: Convert to fraction form
    811.91/1,119.11 = 516.66/x
  3. Step 3: Cross multiply
    811.91x = 1,119.11 × 516.66
  4. Step 4: Simplify right side
    811.91x = 578,196.79
  5. Step 5: Solve for x
    x = 578,196.79/811.91
  6. Step 6: Final answer
    x = 712.15

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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.