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Finding the Fourth Proportional to 991.44, 1,484.06 and 681.48

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Solution

The fourth proportional to 991.44, 1,484.06 and 681.48 is: 1,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,484.06 = 681.48 : x
  2. Step 2: Convert to fraction form
    991.44/1,484.06 = 681.48/x
  3. Step 3: Cross multiply
    991.44x = 1,484.06 × 681.48
  4. Step 4: Simplify right side
    991.44x = 1,011,353.80
  5. Step 5: Solve for x
    x = 1,011,353.80/991.44
  6. Step 6: Final answer
    x = 1,020.09

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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.