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Finding the Fourth Proportional to 991.30, 1,484.07 and 664.90

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Solution

The fourth proportional to 991.30, 1,484.07 and 664.90 is: 995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.30 : 1,484.07 = 664.90 : x
  2. Step 2: Convert to fraction form
    991.30/1,484.07 = 664.90/x
  3. Step 3: Cross multiply
    991.30x = 1,484.07 × 664.90
  4. Step 4: Simplify right side
    991.30x = 986,758.14
  5. Step 5: Solve for x
    x = 986,758.14/991.30
  6. Step 6: Final answer
    x = 995.42

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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.