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Finding the Fourth Proportional to 898.28, 1,236.84 and 792.98

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Solution

The fourth proportional to 898.28, 1,236.84 and 792.98 is: 1,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.28 : 1,236.84 = 792.98 : x
  2. Step 2: Convert to fraction form
    898.28/1,236.84 = 792.98/x
  3. Step 3: Cross multiply
    898.28x = 1,236.84 × 792.98
  4. Step 4: Simplify right side
    898.28x = 980,789.38
  5. Step 5: Solve for x
    x = 980,789.38/898.28
  6. Step 6: Final answer
    x = 1,091.85

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Why These Related Problems?

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