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Finding the Fourth Proportional to 767.34, 1,057.92 and 505.26

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Solution

The fourth proportional to 767.34, 1,057.92 and 505.26 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.34 : 1,057.92 = 505.26 : x
  2. Step 2: Convert to fraction form
    767.34/1,057.92 = 505.26/x
  3. Step 3: Cross multiply
    767.34x = 1,057.92 × 505.26
  4. Step 4: Simplify right side
    767.34x = 534,524.66
  5. Step 5: Solve for x
    x = 534,524.66/767.34
  6. Step 6: Final answer
    x = 696.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.