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Finding the Fourth Proportional to 767.75, 1,152.09 and 459.68

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Solution

The fourth proportional to 767.75, 1,152.09 and 459.68 is: 689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.75 : 1,152.09 = 459.68 : x
  2. Step 2: Convert to fraction form
    767.75/1,152.09 = 459.68/x
  3. Step 3: Cross multiply
    767.75x = 1,152.09 × 459.68
  4. Step 4: Simplify right side
    767.75x = 529,586.97
  5. Step 5: Solve for x
    x = 529,586.97/767.75
  6. Step 6: Final answer
    x = 689.80

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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.