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Finding the Fourth Proportional to 1,379.64, 2,065.62 and 799.80

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Solution

The fourth proportional to 1,379.64, 2,065.62 and 799.80 is: 1,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.64 : 2,065.62 = 799.80 : x
  2. Step 2: Convert to fraction form
    1,379.64/2,065.62 = 799.80/x
  3. Step 3: Cross multiply
    1,379.64x = 2,065.62 × 799.80
  4. Step 4: Simplify right side
    1,379.64x = 1,652,082.88
  5. Step 5: Solve for x
    x = 1,652,082.88/1,379.64
  6. Step 6: Final answer
    x = 1,197.47

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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.