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Finding the Fourth Proportional to 896.31, 1,236.98 and 542.32

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Solution

The fourth proportional to 896.31, 1,236.98 and 542.32 is: 748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.31 : 1,236.98 = 542.32 : x
  2. Step 2: Convert to fraction form
    896.31/1,236.98 = 542.32/x
  3. Step 3: Cross multiply
    896.31x = 1,236.98 × 542.32
  4. Step 4: Simplify right side
    896.31x = 670,837.26
  5. Step 5: Solve for x
    x = 670,837.26/896.31
  6. Step 6: Final answer
    x = 748.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.