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Finding the Fourth Proportional to 767.07, 1,151.37 and 519.51

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Solution

The fourth proportional to 767.07, 1,151.37 and 519.51 is: 779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.07 : 1,151.37 = 519.51 : x
  2. Step 2: Convert to fraction form
    767.07/1,151.37 = 519.51/x
  3. Step 3: Cross multiply
    767.07x = 1,151.37 × 519.51
  4. Step 4: Simplify right side
    767.07x = 598,148.23
  5. Step 5: Solve for x
    x = 598,148.23/767.07
  6. Step 6: Final answer
    x = 779.78

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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.