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Finding the Fourth Proportional to 1,282.80, 1,769.16 and 1,002.60

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Solution

The fourth proportional to 1,282.80, 1,769.16 and 1,002.60 is: 1,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.80 : 1,769.16 = 1,002.60 : x
  2. Step 2: Convert to fraction form
    1,282.80/1,769.16 = 1,002.60/x
  3. Step 3: Cross multiply
    1,282.80x = 1,769.16 × 1,002.60
  4. Step 4: Simplify right side
    1,282.80x = 1,773,759.82
  5. Step 5: Solve for x
    x = 1,773,759.82/1,282.80
  6. Step 6: Final answer
    x = 1,382.73

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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.