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Finding the Fourth Proportional to 986.07, 1,476.67 and 764.85

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Solution

The fourth proportional to 986.07, 1,476.67 and 764.85 is: 1,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.07 : 1,476.67 = 764.85 : x
  2. Step 2: Convert to fraction form
    986.07/1,476.67 = 764.85/x
  3. Step 3: Cross multiply
    986.07x = 1,476.67 × 764.85
  4. Step 4: Simplify right side
    986.07x = 1,129,429.14
  5. Step 5: Solve for x
    x = 1,129,429.14/986.07
  6. Step 6: Final answer
    x = 1,145.39

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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.