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Finding the Fourth Proportional to 671.55, 1,006.44 and 466.21

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Solution

The fourth proportional to 671.55, 1,006.44 and 466.21 is: 698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.55 : 1,006.44 = 466.21 : x
  2. Step 2: Convert to fraction form
    671.55/1,006.44 = 466.21/x
  3. Step 3: Cross multiply
    671.55x = 1,006.44 × 466.21
  4. Step 4: Simplify right side
    671.55x = 469,212.39
  5. Step 5: Solve for x
    x = 469,212.39/671.55
  6. Step 6: Final answer
    x = 698.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.