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Finding the Fourth Proportional to 896.25, 1,343.70 and 485.31

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Solution

The fourth proportional to 896.25, 1,343.70 and 485.31 is: 727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.25 : 1,343.70 = 485.31 : x
  2. Step 2: Convert to fraction form
    896.25/1,343.70 = 485.31/x
  3. Step 3: Cross multiply
    896.25x = 1,343.70 × 485.31
  4. Step 4: Simplify right side
    896.25x = 652,111.05
  5. Step 5: Solve for x
    x = 652,111.05/896.25
  6. Step 6: Final answer
    x = 727.60

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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.