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Finding the Fourth Proportional to 773.46, 1,159.28 and 382.66

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Solution

The fourth proportional to 773.46, 1,159.28 and 382.66 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.46 : 1,159.28 = 382.66 : x
  2. Step 2: Convert to fraction form
    773.46/1,159.28 = 382.66/x
  3. Step 3: Cross multiply
    773.46x = 1,159.28 × 382.66
  4. Step 4: Simplify right side
    773.46x = 443,610.08
  5. Step 5: Solve for x
    x = 443,610.08/773.46
  6. Step 6: Final answer
    x = 573.54

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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.