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Finding the Fourth Proportional to 892.27, 1,230.94 and 538.10

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Solution

The fourth proportional to 892.27, 1,230.94 and 538.10 is: 742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.27 : 1,230.94 = 538.10 : x
  2. Step 2: Convert to fraction form
    892.27/1,230.94 = 538.10/x
  3. Step 3: Cross multiply
    892.27x = 1,230.94 × 538.10
  4. Step 4: Simplify right side
    892.27x = 662,368.81
  5. Step 5: Solve for x
    x = 662,368.81/892.27
  6. Step 6: Final answer
    x = 742.34

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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.