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Finding the Fourth Proportional to 925.18, 1,387.78 and 275.92

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Solution

The fourth proportional to 925.18, 1,387.78 and 275.92 is: 413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.18 : 1,387.78 = 275.92 : x
  2. Step 2: Convert to fraction form
    925.18/1,387.78 = 275.92/x
  3. Step 3: Cross multiply
    925.18x = 1,387.78 × 275.92
  4. Step 4: Simplify right side
    925.18x = 382,912.10
  5. Step 5: Solve for x
    x = 382,912.10/925.18
  6. Step 6: Final answer
    x = 413.88

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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.