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Finding the Fourth Proportional to 1,232.28, 1,849.02 and 538.84

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Solution

The fourth proportional to 1,232.28, 1,849.02 and 538.84 is: 808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.28 : 1,849.02 = 538.84 : x
  2. Step 2: Convert to fraction form
    1,232.28/1,849.02 = 538.84/x
  3. Step 3: Cross multiply
    1,232.28x = 1,849.02 × 538.84
  4. Step 4: Simplify right side
    1,232.28x = 996,325.94
  5. Step 5: Solve for x
    x = 996,325.94/1,232.28
  6. Step 6: Final answer
    x = 808.52

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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.