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Finding the Fourth Proportional to 671.40, 890.37 and 671.40

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Solution

The fourth proportional to 671.40, 890.37 and 671.40 is: 890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.40 : 890.37 = 671.40 : x
  2. Step 2: Convert to fraction form
    671.40/890.37 = 671.40/x
  3. Step 3: Cross multiply
    671.40x = 890.37 × 671.40
  4. Step 4: Simplify right side
    671.40x = 597,794.42
  5. Step 5: Solve for x
    x = 597,794.42/671.40
  6. Step 6: Final answer
    x = 890.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.