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Finding the Fourth Proportional to 773.17, 1,158.96 and 382.58

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Solution

The fourth proportional to 773.17, 1,158.96 and 382.58 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.17 : 1,158.96 = 382.58 : x
  2. Step 2: Convert to fraction form
    773.17/1,158.96 = 382.58/x
  3. Step 3: Cross multiply
    773.17x = 1,158.96 × 382.58
  4. Step 4: Simplify right side
    773.17x = 443,399.25
  5. Step 5: Solve for x
    x = 443,399.25/773.17
  6. Step 6: Final answer
    x = 573.48

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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.