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Finding the Fourth Proportional to 671.28, 1,005.12 and 486.96

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Solution

The fourth proportional to 671.28, 1,005.12 and 486.96 is: 729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.28 : 1,005.12 = 486.96 : x
  2. Step 2: Convert to fraction form
    671.28/1,005.12 = 486.96/x
  3. Step 3: Cross multiply
    671.28x = 1,005.12 × 486.96
  4. Step 4: Simplify right side
    671.28x = 489,453.24
  5. Step 5: Solve for x
    x = 489,453.24/671.28
  6. Step 6: Final answer
    x = 729.13

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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.