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Finding the Fourth Proportional to 1,209.60, 1,668.96 and 767.61

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Solution

The fourth proportional to 1,209.60, 1,668.96 and 767.61 is: 1,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.60 : 1,668.96 = 767.61 : x
  2. Step 2: Convert to fraction form
    1,209.60/1,668.96 = 767.61/x
  3. Step 3: Cross multiply
    1,209.60x = 1,668.96 × 767.61
  4. Step 4: Simplify right side
    1,209.60x = 1,281,110.39
  5. Step 5: Solve for x
    x = 1,281,110.39/1,209.60
  6. Step 6: Final answer
    x = 1,059.12

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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.