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Finding the Fourth Proportional to 671.47, 1,006.81 and 378.84

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Solution

The fourth proportional to 671.47, 1,006.81 and 378.84 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.47 : 1,006.81 = 378.84 : x
  2. Step 2: Convert to fraction form
    671.47/1,006.81 = 378.84/x
  3. Step 3: Cross multiply
    671.47x = 1,006.81 × 378.84
  4. Step 4: Simplify right side
    671.47x = 381,418.01
  5. Step 5: Solve for x
    x = 381,418.01/671.47
  6. Step 6: Final answer
    x = 568.04

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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.