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Finding the Fourth Proportional to 671.58, 1,006.93 and 281.83

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Solution

The fourth proportional to 671.58, 1,006.93 and 281.83 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.58 : 1,006.93 = 281.83 : x
  2. Step 2: Convert to fraction form
    671.58/1,006.93 = 281.83/x
  3. Step 3: Cross multiply
    671.58x = 1,006.93 × 281.83
  4. Step 4: Simplify right side
    671.58x = 283,779.86
  5. Step 5: Solve for x
    x = 283,779.86/671.58
  6. Step 6: Final answer
    x = 422.56

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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.