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Finding the Fourth Proportional to 1,092.54, 1,638.24 and 475.92

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Solution

The fourth proportional to 1,092.54, 1,638.24 and 475.92 is: 713.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.54 : 1,638.24 = 475.92 : x
  2. Step 2: Convert to fraction form
    1,092.54/1,638.24 = 475.92/x
  3. Step 3: Cross multiply
    1,092.54x = 1,638.24 × 475.92
  4. Step 4: Simplify right side
    1,092.54x = 779,671.18
  5. Step 5: Solve for x
    x = 779,671.18/1,092.54
  6. Step 6: Final answer
    x = 713.63

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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.