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Finding the Fourth Proportional to 792, 1,092.56 and 605.30

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Solution

The fourth proportional to 792, 1,092.56 and 605.30 is: 835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    792 : 1,092.56 = 605.30 : x
  2. Step 2: Convert to fraction form
    792/1,092.56 = 605.30/x
  3. Step 3: Cross multiply
    792x = 1,092.56 × 605.30
  4. Step 4: Simplify right side
    792x = 661,318.08
  5. Step 5: Solve for x
    x = 661,318.08/792
  6. Step 6: Final answer
    x = 835.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.