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Finding the Fourth Proportional to 671.26, 1,004.86 and 609.56

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Solution

The fourth proportional to 671.26, 1,004.86 and 609.56 is: 912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.26 : 1,004.86 = 609.56 : x
  2. Step 2: Convert to fraction form
    671.26/1,004.86 = 609.56/x
  3. Step 3: Cross multiply
    671.26x = 1,004.86 × 609.56
  4. Step 4: Simplify right side
    671.26x = 612,522.46
  5. Step 5: Solve for x
    x = 612,522.46/671.26
  6. Step 6: Final answer
    x = 912.50

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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.