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Finding the Fourth Proportional to 671.44, 1,007.84 and 411.74

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Solution

The fourth proportional to 671.44, 1,007.84 and 411.74 is: 618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 1,007.84 = 411.74 : x
  2. Step 2: Convert to fraction form
    671.44/1,007.84 = 411.74/x
  3. Step 3: Cross multiply
    671.44x = 1,007.84 × 411.74
  4. Step 4: Simplify right side
    671.44x = 414,968.04
  5. Step 5: Solve for x
    x = 414,968.04/671.44
  6. Step 6: Final answer
    x = 618.03

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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.