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Finding the Fourth Proportional to 1,231.28, 1,845.36 and 537.76

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Solution

The fourth proportional to 1,231.28, 1,845.36 and 537.76 is: 805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.28 : 1,845.36 = 537.76 : x
  2. Step 2: Convert to fraction form
    1,231.28/1,845.36 = 537.76/x
  3. Step 3: Cross multiply
    1,231.28x = 1,845.36 × 537.76
  4. Step 4: Simplify right side
    1,231.28x = 992,358.10
  5. Step 5: Solve for x
    x = 992,358.10/1,231.28
  6. Step 6: Final answer
    x = 805.96

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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.