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Finding the Fourth Proportional to 986.17, 1,477.89 and 742.43

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Solution

The fourth proportional to 986.17, 1,477.89 and 742.43 is: 1,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.17 : 1,477.89 = 742.43 : x
  2. Step 2: Convert to fraction form
    986.17/1,477.89 = 742.43/x
  3. Step 3: Cross multiply
    986.17x = 1,477.89 × 742.43
  4. Step 4: Simplify right side
    986.17x = 1,097,218.77
  5. Step 5: Solve for x
    x = 1,097,218.77/986.17
  6. Step 6: Final answer
    x = 1,112.61

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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.