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Finding the Fourth Proportional to 767.13, 1,150.36 and 279.84

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Solution

The fourth proportional to 767.13, 1,150.36 and 279.84 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.13 : 1,150.36 = 279.84 : x
  2. Step 2: Convert to fraction form
    767.13/1,150.36 = 279.84/x
  3. Step 3: Cross multiply
    767.13x = 1,150.36 × 279.84
  4. Step 4: Simplify right side
    767.13x = 321,921.14
  5. Step 5: Solve for x
    x = 321,921.14/767.13
  6. Step 6: Final answer
    x = 419.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.