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Finding the Fourth Proportional to 773.15, 1,159.77 and 252.92

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Solution

The fourth proportional to 773.15, 1,159.77 and 252.92 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.15 : 1,159.77 = 252.92 : x
  2. Step 2: Convert to fraction form
    773.15/1,159.77 = 252.92/x
  3. Step 3: Cross multiply
    773.15x = 1,159.77 × 252.92
  4. Step 4: Simplify right side
    773.15x = 293,329.03
  5. Step 5: Solve for x
    x = 293,329.03/773.15
  6. Step 6: Final answer
    x = 379.39

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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.