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Finding the Fourth Proportional to 892.46, 1,231.61 and 538.40

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Solution

The fourth proportional to 892.46, 1,231.61 and 538.40 is: 743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.46 : 1,231.61 = 538.40 : x
  2. Step 2: Convert to fraction form
    892.46/1,231.61 = 538.40/x
  3. Step 3: Cross multiply
    892.46x = 1,231.61 × 538.40
  4. Step 4: Simplify right side
    892.46x = 663,099.21
  5. Step 5: Solve for x
    x = 663,099.21/892.46
  6. Step 6: Final answer
    x = 743.00

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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.