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Finding the Fourth Proportional to 925.14, 1,382.30 and 892.85

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Solution

The fourth proportional to 925.14, 1,382.30 and 892.85 is: 1,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.14 : 1,382.30 = 892.85 : x
  2. Step 2: Convert to fraction form
    925.14/1,382.30 = 892.85/x
  3. Step 3: Cross multiply
    925.14x = 1,382.30 × 892.85
  4. Step 4: Simplify right side
    925.14x = 1,234,175.18
  5. Step 5: Solve for x
    x = 1,234,175.18/925.14
  6. Step 6: Final answer
    x = 1,334.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.