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Finding the Fourth Proportional to 896.41, 1,237.05 and 542.33

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Solution

The fourth proportional to 896.41, 1,237.05 and 542.33 is: 748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.41 : 1,237.05 = 542.33 : x
  2. Step 2: Convert to fraction form
    896.41/1,237.05 = 542.33/x
  3. Step 3: Cross multiply
    896.41x = 1,237.05 × 542.33
  4. Step 4: Simplify right side
    896.41x = 670,883.14
  5. Step 5: Solve for x
    x = 670,883.14/896.41
  6. Step 6: Final answer
    x = 748.42

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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.