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Finding the Fourth Proportional to 773.69, 1,160.48 and 310.91

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Solution

The fourth proportional to 773.69, 1,160.48 and 310.91 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.69 : 1,160.48 = 310.91 : x
  2. Step 2: Convert to fraction form
    773.69/1,160.48 = 310.91/x
  3. Step 3: Cross multiply
    773.69x = 1,160.48 × 310.91
  4. Step 4: Simplify right side
    773.69x = 360,797.48
  5. Step 5: Solve for x
    x = 360,797.48/773.69
  6. Step 6: Final answer
    x = 466.34

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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.