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Finding the Fourth Proportional to 1,300.64, 1,794.87 and 769.41

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Solution

The fourth proportional to 1,300.64, 1,794.87 and 769.41 is: 1,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.64 : 1,794.87 = 769.41 : x
  2. Step 2: Convert to fraction form
    1,300.64/1,794.87 = 769.41/x
  3. Step 3: Cross multiply
    1,300.64x = 1,794.87 × 769.41
  4. Step 4: Simplify right side
    1,300.64x = 1,380,990.93
  5. Step 5: Solve for x
    x = 1,380,990.93/1,300.64
  6. Step 6: Final answer
    x = 1,061.78

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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.