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Finding the Fourth Proportional to 1,174.27, 1,758.61 and 679.64

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Solution

The fourth proportional to 1,174.27, 1,758.61 and 679.64 is: 1,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.27 : 1,758.61 = 679.64 : x
  2. Step 2: Convert to fraction form
    1,174.27/1,758.61 = 679.64/x
  3. Step 3: Cross multiply
    1,174.27x = 1,758.61 × 679.64
  4. Step 4: Simplify right side
    1,174.27x = 1,195,222.05
  5. Step 5: Solve for x
    x = 1,195,222.05/1,174.27
  6. Step 6: Final answer
    x = 1,017.84

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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.