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Finding the Fourth Proportional to 1,301.62, 1,796.20 and 797.67

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Solution

The fourth proportional to 1,301.62, 1,796.20 and 797.67 is: 1,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.62 : 1,796.20 = 797.67 : x
  2. Step 2: Convert to fraction form
    1,301.62/1,796.20 = 797.67/x
  3. Step 3: Cross multiply
    1,301.62x = 1,796.20 × 797.67
  4. Step 4: Simplify right side
    1,301.62x = 1,432,766.26
  5. Step 5: Solve for x
    x = 1,432,766.26/1,301.62
  6. Step 6: Final answer
    x = 1,100.76

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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.