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Finding the Fourth Proportional to 1,174.58, 1,764.60 and 687.97

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Solution

The fourth proportional to 1,174.58, 1,764.60 and 687.97 is: 1,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.58 : 1,764.60 = 687.97 : x
  2. Step 2: Convert to fraction form
    1,174.58/1,764.60 = 687.97/x
  3. Step 3: Cross multiply
    1,174.58x = 1,764.60 × 687.97
  4. Step 4: Simplify right side
    1,174.58x = 1,213,979.60
  5. Step 5: Solve for x
    x = 1,213,979.60/1,174.58
  6. Step 6: Final answer
    x = 1,033.55

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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.