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Finding the Fourth Proportional to 671.96, 1,006.50 and 664.58

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Solution

The fourth proportional to 671.96, 1,006.50 and 664.58 is: 995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.96 : 1,006.50 = 664.58 : x
  2. Step 2: Convert to fraction form
    671.96/1,006.50 = 664.58/x
  3. Step 3: Cross multiply
    671.96x = 1,006.50 × 664.58
  4. Step 4: Simplify right side
    671.96x = 668,899.77
  5. Step 5: Solve for x
    x = 668,899.77/671.96
  6. Step 6: Final answer
    x = 995.45

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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.