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Finding the Fourth Proportional to 925.54, 1,387.95 and 377.41

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Solution

The fourth proportional to 925.54, 1,387.95 and 377.41 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.54 : 1,387.95 = 377.41 : x
  2. Step 2: Convert to fraction form
    925.54/1,387.95 = 377.41/x
  3. Step 3: Cross multiply
    925.54x = 1,387.95 × 377.41
  4. Step 4: Simplify right side
    925.54x = 523,826.21
  5. Step 5: Solve for x
    x = 523,826.21/925.54
  6. Step 6: Final answer
    x = 565.97

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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.