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Finding the Fourth Proportional to 767.64, 1,149.63 and 523.42

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Solution

The fourth proportional to 767.64, 1,149.63 and 523.42 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.64 : 1,149.63 = 523.42 : x
  2. Step 2: Convert to fraction form
    767.64/1,149.63 = 523.42/x
  3. Step 3: Cross multiply
    767.64x = 1,149.63 × 523.42
  4. Step 4: Simplify right side
    767.64x = 601,739.33
  5. Step 5: Solve for x
    x = 601,739.33/767.64
  6. Step 6: Final answer
    x = 783.88

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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.