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Finding the Fourth Proportional to 671.42, 1,006.53 and 260.85

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Solution

The fourth proportional to 671.42, 1,006.53 and 260.85 is: 391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.42 : 1,006.53 = 260.85 : x
  2. Step 2: Convert to fraction form
    671.42/1,006.53 = 260.85/x
  3. Step 3: Cross multiply
    671.42x = 1,006.53 × 260.85
  4. Step 4: Simplify right side
    671.42x = 262,553.35
  5. Step 5: Solve for x
    x = 262,553.35/671.42
  6. Step 6: Final answer
    x = 391.04

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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.