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Finding the Fourth Proportional to 801.84, 1,106.50 and 447.82

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Solution

The fourth proportional to 801.84, 1,106.50 and 447.82 is: 617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.84 : 1,106.50 = 447.82 : x
  2. Step 2: Convert to fraction form
    801.84/1,106.50 = 447.82/x
  3. Step 3: Cross multiply
    801.84x = 1,106.50 × 447.82
  4. Step 4: Simplify right side
    801.84x = 495,512.83
  5. Step 5: Solve for x
    x = 495,512.83/801.84
  6. Step 6: Final answer
    x = 617.97

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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.