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Finding the Fourth Proportional to 695.78, 1,042.76 and 512.32

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Solution

The fourth proportional to 695.78, 1,042.76 and 512.32 is: 767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 1,042.76 = 512.32 : x
  2. Step 2: Convert to fraction form
    695.78/1,042.76 = 512.32/x
  3. Step 3: Cross multiply
    695.78x = 1,042.76 × 512.32
  4. Step 4: Simplify right side
    695.78x = 534,221.59
  5. Step 5: Solve for x
    x = 534,221.59/695.78
  6. Step 6: Final answer
    x = 767.80

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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.