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Finding the Fourth Proportional to 1,072.92, 1,610.10 and 496.20

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Solution

The fourth proportional to 1,072.92, 1,610.10 and 496.20 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.92 : 1,610.10 = 496.20 : x
  2. Step 2: Convert to fraction form
    1,072.92/1,610.10 = 496.20/x
  3. Step 3: Cross multiply
    1,072.92x = 1,610.10 × 496.20
  4. Step 4: Simplify right side
    1,072.92x = 798,931.62
  5. Step 5: Solve for x
    x = 798,931.62/1,072.92
  6. Step 6: Final answer
    x = 744.63

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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.