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Finding the Fourth Proportional to 925.73, 1,389 and 492.80

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Solution

The fourth proportional to 925.73, 1,389 and 492.80 is: 739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.73 : 1,389 = 492.80 : x
  2. Step 2: Convert to fraction form
    925.73/1,389 = 492.80/x
  3. Step 3: Cross multiply
    925.73x = 1,389 × 492.80
  4. Step 4: Simplify right side
    925.73x = 684,499.20
  5. Step 5: Solve for x
    x = 684,499.20/925.73
  6. Step 6: Final answer
    x = 739.42

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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.