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Finding the Fourth Proportional to 881.26, 1,320.54 and 447.64

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Solution

The fourth proportional to 881.26, 1,320.54 and 447.64 is: 670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.26 : 1,320.54 = 447.64 : x
  2. Step 2: Convert to fraction form
    881.26/1,320.54 = 447.64/x
  3. Step 3: Cross multiply
    881.26x = 1,320.54 × 447.64
  4. Step 4: Simplify right side
    881.26x = 591,126.53
  5. Step 5: Solve for x
    x = 591,126.53/881.26
  6. Step 6: Final answer
    x = 670.77

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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.