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Finding the Fourth Proportional to 1,092.54, 1,638.87 and 398.93

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Solution

The fourth proportional to 1,092.54, 1,638.87 and 398.93 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.54 : 1,638.87 = 398.93 : x
  2. Step 2: Convert to fraction form
    1,092.54/1,638.87 = 398.93/x
  3. Step 3: Cross multiply
    1,092.54x = 1,638.87 × 398.93
  4. Step 4: Simplify right side
    1,092.54x = 653,786.21
  5. Step 5: Solve for x
    x = 653,786.21/1,092.54
  6. Step 6: Final answer
    x = 598.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.