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Finding the Fourth Proportional to 881.16, 1,216.21 and 633.22

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Solution

The fourth proportional to 881.16, 1,216.21 and 633.22 is: 873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.16 : 1,216.21 = 633.22 : x
  2. Step 2: Convert to fraction form
    881.16/1,216.21 = 633.22/x
  3. Step 3: Cross multiply
    881.16x = 1,216.21 × 633.22
  4. Step 4: Simplify right side
    881.16x = 770,128.50
  5. Step 5: Solve for x
    x = 770,128.50/881.16
  6. Step 6: Final answer
    x = 873.99

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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.