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Finding the Fourth Proportional to 773.55, 1,158.57 and 408.78

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Solution

The fourth proportional to 773.55, 1,158.57 and 408.78 is: 612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.55 : 1,158.57 = 408.78 : x
  2. Step 2: Convert to fraction form
    773.55/1,158.57 = 408.78/x
  3. Step 3: Cross multiply
    773.55x = 1,158.57 × 408.78
  4. Step 4: Simplify right side
    773.55x = 473,600.24
  5. Step 5: Solve for x
    x = 473,600.24/773.55
  6. Step 6: Final answer
    x = 612.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.