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Finding the Fourth Proportional to 896.37, 1,344.84 and 428.04

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Solution

The fourth proportional to 896.37, 1,344.84 and 428.04 is: 642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.37 : 1,344.84 = 428.04 : x
  2. Step 2: Convert to fraction form
    896.37/1,344.84 = 428.04/x
  3. Step 3: Cross multiply
    896.37x = 1,344.84 × 428.04
  4. Step 4: Simplify right side
    896.37x = 575,645.31
  5. Step 5: Solve for x
    x = 575,645.31/896.37
  6. Step 6: Final answer
    x = 642.20

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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.