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Finding the Fourth Proportional to 1,092.23, 1,638.09 and 312.21

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Solution

The fourth proportional to 1,092.23, 1,638.09 and 312.21 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.23 : 1,638.09 = 312.21 : x
  2. Step 2: Convert to fraction form
    1,092.23/1,638.09 = 312.21/x
  3. Step 3: Cross multiply
    1,092.23x = 1,638.09 × 312.21
  4. Step 4: Simplify right side
    1,092.23x = 511,428.08
  5. Step 5: Solve for x
    x = 511,428.08/1,092.23
  6. Step 6: Final answer
    x = 468.24

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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.