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Finding the Fourth Proportional to 671.14, 1,007.84 and 411.66

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Solution

The fourth proportional to 671.14, 1,007.84 and 411.66 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.14 : 1,007.84 = 411.66 : x
  2. Step 2: Convert to fraction form
    671.14/1,007.84 = 411.66/x
  3. Step 3: Cross multiply
    671.14x = 1,007.84 × 411.66
  4. Step 4: Simplify right side
    671.14x = 414,885.61
  5. Step 5: Solve for x
    x = 414,885.61/671.14
  6. Step 6: Final answer
    x = 618.18

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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.