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Finding the Fourth Proportional to 1,306.80, 1,792.80 and 1,209.60

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Solution

The fourth proportional to 1,306.80, 1,792.80 and 1,209.60 is: 1,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.80 : 1,792.80 = 1,209.60 : x
  2. Step 2: Convert to fraction form
    1,306.80/1,792.80 = 1,209.60/x
  3. Step 3: Cross multiply
    1,306.80x = 1,792.80 × 1,209.60
  4. Step 4: Simplify right side
    1,306.80x = 2,168,570.88
  5. Step 5: Solve for x
    x = 2,168,570.88/1,306.80
  6. Step 6: Final answer
    x = 1,659.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.