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Finding the Fourth Proportional to 767.97, 1,150.74 and 459.09

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Solution

The fourth proportional to 767.97, 1,150.74 and 459.09 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.97 : 1,150.74 = 459.09 : x
  2. Step 2: Convert to fraction form
    767.97/1,150.74 = 459.09/x
  3. Step 3: Cross multiply
    767.97x = 1,150.74 × 459.09
  4. Step 4: Simplify right side
    767.97x = 528,293.23
  5. Step 5: Solve for x
    x = 528,293.23/767.97
  6. Step 6: Final answer
    x = 687.91

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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.