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Finding the Fourth Proportional to 671.22, 1,005.10 and 596.83

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Solution

The fourth proportional to 671.22, 1,005.10 and 596.83 is: 893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 1,005.10 = 596.83 : x
  2. Step 2: Convert to fraction form
    671.22/1,005.10 = 596.83/x
  3. Step 3: Cross multiply
    671.22x = 1,005.10 × 596.83
  4. Step 4: Simplify right side
    671.22x = 599,877.98
  5. Step 5: Solve for x
    x = 599,877.98/671.22
  6. Step 6: Final answer
    x = 893.71

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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.