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Finding the Fourth Proportional to 675.73, 1,013.87 and 242.92

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Solution

The fourth proportional to 675.73, 1,013.87 and 242.92 is: 364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.73 : 1,013.87 = 242.92 : x
  2. Step 2: Convert to fraction form
    675.73/1,013.87 = 242.92/x
  3. Step 3: Cross multiply
    675.73x = 1,013.87 × 242.92
  4. Step 4: Simplify right side
    675.73x = 246,289.30
  5. Step 5: Solve for x
    x = 246,289.30/675.73
  6. Step 6: Final answer
    x = 364.48

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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.