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Finding the Fourth Proportional to 881.09, 1,321.85 and 264.78

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Solution

The fourth proportional to 881.09, 1,321.85 and 264.78 is: 397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.09 : 1,321.85 = 264.78 : x
  2. Step 2: Convert to fraction form
    881.09/1,321.85 = 264.78/x
  3. Step 3: Cross multiply
    881.09x = 1,321.85 × 264.78
  4. Step 4: Simplify right side
    881.09x = 349,998.12
  5. Step 5: Solve for x
    x = 349,998.12/881.09
  6. Step 6: Final answer
    x = 397.24

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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.