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Finding the Fourth Proportional to 1,092.34, 1,638.87 and 399.22

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Solution

The fourth proportional to 1,092.34, 1,638.87 and 399.22 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.34 : 1,638.87 = 399.22 : x
  2. Step 2: Convert to fraction form
    1,092.34/1,638.87 = 399.22/x
  3. Step 3: Cross multiply
    1,092.34x = 1,638.87 × 399.22
  4. Step 4: Simplify right side
    1,092.34x = 654,269.68
  5. Step 5: Solve for x
    x = 654,269.68/1,092.34
  6. Step 6: Final answer
    x = 598.96

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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.