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Finding the Fourth Proportional to 881.12, 1,323.10 and 516.20

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Solution

The fourth proportional to 881.12, 1,323.10 and 516.20 is: 775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.12 : 1,323.10 = 516.20 : x
  2. Step 2: Convert to fraction form
    881.12/1,323.10 = 516.20/x
  3. Step 3: Cross multiply
    881.12x = 1,323.10 × 516.20
  4. Step 4: Simplify right side
    881.12x = 682,984.22
  5. Step 5: Solve for x
    x = 682,984.22/881.12
  6. Step 6: Final answer
    x = 775.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.