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Finding the Fourth Proportional to 986.02, 1,476.38 and 790.14

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Solution

The fourth proportional to 986.02, 1,476.38 and 790.14 is: 1,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.02 : 1,476.38 = 790.14 : x
  2. Step 2: Convert to fraction form
    986.02/1,476.38 = 790.14/x
  3. Step 3: Cross multiply
    986.02x = 1,476.38 × 790.14
  4. Step 4: Simplify right side
    986.02x = 1,166,546.89
  5. Step 5: Solve for x
    x = 1,166,546.89/986.02
  6. Step 6: Final answer
    x = 1,183.09

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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.