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Finding the Fourth Proportional to 801.42, 1,105.86 and 447.36

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Solution

The fourth proportional to 801.42, 1,105.86 and 447.36 is: 617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.42 : 1,105.86 = 447.36 : x
  2. Step 2: Convert to fraction form
    801.42/1,105.86 = 447.36/x
  3. Step 3: Cross multiply
    801.42x = 1,105.86 × 447.36
  4. Step 4: Simplify right side
    801.42x = 494,715.02
  5. Step 5: Solve for x
    x = 494,715.02/801.42
  6. Step 6: Final answer
    x = 617.30

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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.