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Finding the Fourth Proportional to 986.96, 1,477.69 and 800.75

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Solution

The fourth proportional to 986.96, 1,477.69 and 800.75 is: 1,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.96 : 1,477.69 = 800.75 : x
  2. Step 2: Convert to fraction form
    986.96/1,477.69 = 800.75/x
  3. Step 3: Cross multiply
    986.96x = 1,477.69 × 800.75
  4. Step 4: Simplify right side
    986.96x = 1,183,250.88
  5. Step 5: Solve for x
    x = 1,183,250.88/986.96
  6. Step 6: Final answer
    x = 1,198.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.