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Finding the Fourth Proportional to 881.21, 1,216.22 and 566.86

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Solution

The fourth proportional to 881.21, 1,216.22 and 566.86 is: 782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.21 : 1,216.22 = 566.86 : x
  2. Step 2: Convert to fraction form
    881.21/1,216.22 = 566.86/x
  3. Step 3: Cross multiply
    881.21x = 1,216.22 × 566.86
  4. Step 4: Simplify right side
    881.21x = 689,427.66
  5. Step 5: Solve for x
    x = 689,427.66/881.21
  6. Step 6: Final answer
    x = 782.37

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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.