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Finding the Fourth Proportional to 1,166.91, 1,610.57 and 767.88

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Solution

The fourth proportional to 1,166.91, 1,610.57 and 767.88 is: 1,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.91 : 1,610.57 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,166.91/1,610.57 = 767.88/x
  3. Step 3: Cross multiply
    1,166.91x = 1,610.57 × 767.88
  4. Step 4: Simplify right side
    1,166.91x = 1,236,720.65
  5. Step 5: Solve for x
    x = 1,236,720.65/1,166.91
  6. Step 6: Final answer
    x = 1,059.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.