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Finding the Fourth Proportional to 1,092.96, 1,638.42 and 399.46

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Solution

The fourth proportional to 1,092.96, 1,638.42 and 399.46 is: 598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.96 : 1,638.42 = 399.46 : x
  2. Step 2: Convert to fraction form
    1,092.96/1,638.42 = 399.46/x
  3. Step 3: Cross multiply
    1,092.96x = 1,638.42 × 399.46
  4. Step 4: Simplify right side
    1,092.96x = 654,483.25
  5. Step 5: Solve for x
    x = 654,483.25/1,092.96
  6. Step 6: Final answer
    x = 598.82

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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.