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Finding the Fourth Proportional to 1,222.47, 1,832.09 and 896.31

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Solution

The fourth proportional to 1,222.47, 1,832.09 and 896.31 is: 1,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.47 : 1,832.09 = 896.31 : x
  2. Step 2: Convert to fraction form
    1,222.47/1,832.09 = 896.31/x
  3. Step 3: Cross multiply
    1,222.47x = 1,832.09 × 896.31
  4. Step 4: Simplify right side
    1,222.47x = 1,642,116.11
  5. Step 5: Solve for x
    x = 1,642,116.11/1,222.47
  6. Step 6: Final answer
    x = 1,343.28

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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.