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Finding the Fourth Proportional to 671.06, 1,006.22 and 451.68

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Solution

The fourth proportional to 671.06, 1,006.22 and 451.68 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.06 : 1,006.22 = 451.68 : x
  2. Step 2: Convert to fraction form
    671.06/1,006.22 = 451.68/x
  3. Step 3: Cross multiply
    671.06x = 1,006.22 × 451.68
  4. Step 4: Simplify right side
    671.06x = 454,486.81
  5. Step 5: Solve for x
    x = 454,486.81/671.06
  6. Step 6: Final answer
    x = 677.27

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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.