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Finding the Fourth Proportional to 1,202.91, 1,659.36 and 770.94

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Solution

The fourth proportional to 1,202.91, 1,659.36 and 770.94 is: 1,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.91 : 1,659.36 = 770.94 : x
  2. Step 2: Convert to fraction form
    1,202.91/1,659.36 = 770.94/x
  3. Step 3: Cross multiply
    1,202.91x = 1,659.36 × 770.94
  4. Step 4: Simplify right side
    1,202.91x = 1,279,267.00
  5. Step 5: Solve for x
    x = 1,279,267.00/1,202.91
  6. Step 6: Final answer
    x = 1,063.48

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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.