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Finding the Fourth Proportional to 773.53, 1,158.21 and 464.94

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Solution

The fourth proportional to 773.53, 1,158.21 and 464.94 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.53 : 1,158.21 = 464.94 : x
  2. Step 2: Convert to fraction form
    773.53/1,158.21 = 464.94/x
  3. Step 3: Cross multiply
    773.53x = 1,158.21 × 464.94
  4. Step 4: Simplify right side
    773.53x = 538,498.16
  5. Step 5: Solve for x
    x = 538,498.16/773.53
  6. Step 6: Final answer
    x = 696.16

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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.